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Simplifying ax + 12 = 2(6x + b) Reorder the terms: 12 + ax = 2(6x + b) Reorder the terms: 12 + ax = 2(b + 6x) 12 + ax = (b * 2 + 6x * 2) 12 + ax = (2b + 12x) Solving 12 + ax = 2b + 12x 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 = 2b + -12 + 12x Combine like terms: 12 + -12 = 0 0 + ax = 2b + -12 + 12x ax = 2b + -12 + 12x Reorder the terms: ax = -12 + 2b + 12x Divide each side by 'x'. a = -12x-1 + 2bx-1 + 12 Simplifying a = -12x-1 + 2bx-1 + 12 Reorder the terms: a = 12 + 2bx-1 + -12x-1
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