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The school I've committed to as of now requires me to complete online registration by tomorrow (which involves agreeing to a form saying that you are responsible for payment throughout your enrollment at said school). I checked off the box but I was wondering if I would be responsible for paying this school's tuition if I were to be accepted at one of my waitlisted schools? Sorry if that sounds like a stupid question.

You're allowed to accept any new offers. You'd contact your school and tell them you were accepted at somewhere else and that you won't be matriculating.