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I believe this was solved in a firmware update and was caused by Google Chrome so you could open Settings then Apps and swipe to all the locate and open Chrome and tap on Uninstall updates then reboot and test making sure not to allow the app to update itself once rebooted untill you have tested it
I've had the exact same problem.Even with a little moist in my hands the screen went crazy..I simply added a cheap plastic screen protector and problem solved.