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Simplifying 12(12 + x) = 2x + 24 (12 * 12 + x * 12) = 2x + 24 (144 + 12x) = 2x + 24 Reorder the terms: 144 + 12x = 24 + 2x Solving 144 + 12x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 144 + 12x + -2x = 24 + 2x + -2x Combine like terms: 12x + -2x = 10x 144 + 10x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 144 + 10x = 24 + 0 144 + 10x = 24 Add '-144' to each side of the equation. 144 + -144 + 10x = 24 + -144 Combine like terms: 144 + -144 = 0 0 + 10x = 24 + -144 10x = 24 + -144 Combine like terms: 24 + -144 = -120 10x = -120 Divide each side by '10'. x = -12 Simplifying x = -12
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