Using Bayes Theorem To Simplify Probabilities

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I want to compute P(AB|X) in terms of the (given) probabilities P(B), P(X), P(A|BX), P(AB, !X), P(A|!B,X), P(A|!B, !X) where every letter is some random variable.

How would I go about doing so using Bayes and other probability rules?