I updated the android aps, the screen and back of this phone are hot to the touch. Is the phone defective?
I think your phone is likely just fine. When first activated it’s busy updating and configuring itself for your use. When the Moto X Pure is working hard, it tends to run a bit warm. It should calm down in regular use. At least, this has been my experience with my Moto X Pure.
Mine gets warm as well, especially when the video screen has been on for a little while. Sometimes it gets warm in my pocket and I discover that I left the maps application running with GPS enabled. I close all navigational apps, camera apps when not in use for maximum battery life and minimum temperature. It sounds like your phone may be normal.
My MXP will get hot sometimes, especially when using it while plugged into the Turbo Charger.
As a* new* activation, the procedure Clearing the Cache is often recommended and considered a good maintenance/housekeeping tool.