Use a jigsaw with a medium toothed blade at a slow speed. Just kinda bump the trigger to get a feel for it. You want to cut out enough material so that you can move through it quickly without melting. The stores usually have scraps that you could get to practice on for free. If you don't have a table saw, and need to make a long cut, there's a tool that you use to scribe the acrylic with, making a few cuts and then popping it all at once. Just takes some practice.
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