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Simplifying 12 + ax = b(4x + 24) Reorder the terms: 12 + ax = b(24 + 4x) 12 + ax = (24 * b + 4x * b) 12 + ax = (24b + 4bx) Solving 12 + ax = 24b + 4bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + ax = 24b + -12 + 4bx Combine like terms: 12 + -12 = 0 0 + ax = 24b + -12 + 4bx ax = 24b + -12 + 4bx Reorder the terms: ax = -12 + 24b + 4bx Divide each side by 'x'. a = -12x-1 + 24bx-1 + 4b Simplifying a = -12x-1 + 24bx-1 + 4b Reorder the terms: a = 4b + 24bx-1 + -12x-1
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