Magento 1.9 – Fix ‘Access Denied for User root@localhost’

my local.xml file:

<config>
<global>
    <install>
        <date><![CDATA[Fri, 13 Dec 2013 10:19:07 +0000]]></date>
    </install>
    <crypt>
        <key><![CDATA[a1e2164673b9815575543621066bc628]]></key>
    </crypt>
    <!-- CACHE -->
    <disable_local_modules>false</disable_local_modules>
    <resources>
        <db>
            <table_prefix><![CDATA[]]></table_prefix>
        </db>
        <default_setup>
            <connection>
                <host><![CDATA[10.0.2.2]]></host>
                <username><![CDATA[root]]></username>
                <password><![CDATA[toor]]></password>
                <dbname><![CDATA[mage_allbrands]]></dbname>
                <initStatements><![CDATA[SET NAMES utf8]]></initStatements>
                <model><![CDATA[mysql4]]></model>
                <type><![CDATA[pdo_mysql]]></type>
                <pdoType><![CDATA[]]></pdoType>
                <active>1</active>
            </connection>
        </default_setup>
    </resources>
    <session_save><![CDATA[db]]></session_save>
    <!-- COMPOSER -->
</global>
<admin>
    <routers>
        <adminhtml>
            <args>
                <frontName><![CDATA[factoryx]]></frontName>
            </args>
        </adminhtml>
    </routers>
</admin>
</config>

Example of me connecting to the database through mysql:

[deployment@dt report]$ mysql -u root -ptoor
Warning: Using a password on the command line interface can be insecure.
Welcome to the MySQL monitor.  Commands end with ; or \g.
Your MySQL connection id is 13
Server version: 5.6.37 MySQL Community Server (GPL)

Copyright (c) 2000, 2017, Oracle and/or its affiliates. All rights reserved.

Oracle is a registered trademark of Oracle Corporation and/or its
affiliates. Other names may be trademarks of their respective
owners.

Type 'help;' or '\h' for help. Type '\c' to clear the current input 
statement.

mysql> show databases;
+--------------------+
| Database           |
+--------------------+
| information_schema |
| mage_allbrands     |
| mysql              |
| performance_schema |
+--------------------+
4 rows in set (0.00 sec)

mysql>

I can also connect using localhost as the host by running this command:
mysql -h localhost -u root -ptoor

So I'm not sure exactly why Magento is giving me this error. From my research the answers people are getting is to ensure their password is correct in local.xml, which I already know is correct as shown above.

Thanks so much for the help!

edit: complete error log file here

   a:4:{i:0;s:86:"SQLSTATE[HY000] [1045] Access denied for user 'root'@'localhost' (using password: YES)";i:1;s:2820:"#0 /var/www/deployment/releases/20171003164940/lib/Zend/Db/Adapter/Pdo/Mysql.php(111): Zend_Db_Adapter_Pdo_Abstract->_connect()
#1 /var/www/deployment/releases/20171003164940/lib/Varien/Db/Adapter/Pdo/Mysql.php(396): Zend_Db_Adapter_Pdo_Mysql->_connect()
#2 /var/www/deployment/releases/20171003164940/lib/Zend/Db/Adapter/Abstract.php(460): Varien_Db_Adapter_Pdo_Mysql->_connect()
#3 /var/www/deployment/releases/20171003164940/lib/Zend/Db/Adapter/Pdo/Abstract.php(238): Zend_Db_Adapter_Abstract->query('SET NAMES utf8', Array)
#4 /var/www/deployment/releases/20171003164940/lib/Varien/Db/Adapter/Pdo/Mysql.php(504): Zend_Db_Adapter_Pdo_Abstract->query('SET NAMES utf8', Array)
#5 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource.php(179): Varien_Db_Adapter_Pdo_Mysql->query('SET NAMES utf8')
#6 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource.php(110): Mage_Core_Model_Resource->_newConnection('pdo_mysql', Object(Mage_Core_Model_Config_Element))
#7 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource/Db/Abstract.php(320): Mage_Core_Model_Resource->getConnection('core_write')
#8 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource/Db/Abstract.php(350): Mage_Core_Model_Resource_Db_Abstract->_getConnection('write')
#9 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource/Db/Abstract.php(335): Mage_Core_Model_Resource_Db_Abstract->_getWriteAdapter()
#10 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Resource/Cache.php(53): Mage_Core_Model_Resource_Db_Abstract->_getReadAdapter()
#11 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Cache.php(478): Mage_Core_Model_Resource_Cache->getAllOptions()
#12 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Cache.php(520): Mage_Core_Model_Cache->_initOptions()
#13 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/App.php(1202): Mage_Core_Model_Cache->canUse('config')
#14 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Config.php(417): Mage_Core_Model_App->useCache('config')
#15 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/Config.php(297): Mage_Core_Model_Config->_canUseCacheForInit()
#16 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/App.php(424): Mage_Core_Model_Config->loadModulesCache()
#17 /var/www/deployment/releases/20171003164940/app/code/core/Mage/Core/Model/App.php(354): Mage_Core_Model_App->_initModules()
#18 /var/www/deployment/releases/20171003164940/app/Mage.php(684): Mage_Core_Model_App->run(Array)
#19 /var/www/deployment/releases/20171003164940/index.php(83): Mage::run('default', 'store')
#20 {main}";s:3:"url";s:1:"/";s:11:"script_name";s:10:"/index.php";}