222.27.5 Stagefright OTA Update Guide for the XT1053 Moto X

It seems like some people have been having trouble applying the Stagefright security patch OTA update on their 2013 Moto X (XT1053). To help out the community, XDA Senior Member mastarifla was nice enough to put together a step by step guide, with a link to a stock Android 5.1 firmware download that doesn't have the same issues that others are reporting.

source: xdadevelopers