(Polar molecules, Non-polar molecules, etc.)
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I think that the AX2E3 shape would be linear because although it has lone pairs on it, the three lone pairs are arranged in such a way that the lone pairs and their repulsions cancel each other out (so to speak) and therefore don't cause the atoms bonded to the central atom to move closer together. The AX2E2 shape is bent because the lone pairs and their repulsion don't cancel each other out.
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