The simple way to handle a sticky palmrest on any kind of rubberized-surface laptop is to take a small amount of cornstarch, and rub it into the surface with your finger. You almost certainly already have some sitting in your kitchen, and it is of course non-toxic. It will stick to the stickiness and make the palmrest smooth to the touch again. Apply a sufficient amount to eliminate the stickiness. Try not to get any into the area under the actual keys, or into the crevice around the touchpad. Vacuum off any excess when you're done. If you like, take a soft dry washcloth afterward and rub it down a bit, then vacuum again.
If the rubberized surface was black, the white cornstarch might turn it a bit gray. That's just a cosmetic issue, a small price to pay for a useable machine -- and literally so, probably about one cent's worth of cornstarch. But if that bothers you, instead get yourself a small box of Hershey's Cocoa, the "Special Dark" Dutched Cocoa, which is a very dark non-toxic powder. You might end up with a slightly reddish color on the laptop surface, but again, rub it down and after that you probably won't notice much. Using such cocoa is a more expensive solution, but you can make some chocolate cakes with the rest of it, and enjoy the experience.
What you probably don't want to do is to use charcoal or carbon black as the powder to rub in. Those materials are not non-toxic, and are likely conductive as well, which is not something you want to get into the electronics in your machine.
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