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Simplifying Ax + b = a(x + c) Reorder the terms: b + xA = a(x + c) Reorder the terms: b + xA = a(c + x) b + xA = (c * a + x * a) b + xA = (ac + ax) Solving b + xA = ac + ax Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1xA' to each side of the equation. b + xA + -1xA = ac + ax + -1xA Combine like terms: xA + -1xA = 0 b + 0 = ac + ax + -1xA b = ac + ax + -1xA Simplifying b = ac + ax + -1xA
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