To Disappear
To Go Out, To Turn Off
intransitive verb, ichidan verb
You've seen that 消す is "to extinguish." So, this is another verb version of that. This time, you're not doing the extinguishing, it's just happening. Something is going to disappear on its own. How can you differentiate this from 消す? Well, える allows you to notice how the object disappeared into thin air (える). You know you didn't do it, so it disappeared on its own, making it to disappear.
The reading is different from 消す, unfortunately, so you can't use that. Just think about how after the object in front of you disappears you use a key (き) to open an invisible door. That's where everything's disappearing to! You see all your disappeared stuff on the other side of this invisible door which you opened with a magical key.
これ、消しゴムで消えるよ。
This will erase with an eraser.
デジタルタトゥーは一生消えないからね。
Digital tattoos don't disappear for a lifetime, you know.
やばい、データが全部消えちゃった！
Oh no, all the data is gone!