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Simplifying ac + b = cx + d Solving ac + b = cx + d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ac + b + -1b = cx + -1b + d Combine like terms: b + -1b = 0 ac + 0 = cx + -1b + d ac = cx + -1b + d Reorder the terms: ac = -1b + cx + d Divide each side by 'c'. a = -1bc-1 + x + c-1d Simplifying a = -1bc-1 + x + c-1d Reorder the terms: a = -1bc-1 + c-1d + x
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