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Simplifying (x + 12) * 2 = 5x Reorder the terms: (12 + x) * 2 = 5x Reorder the terms for easier multiplication: 2(12 + x) = 5x (12 * 2 + x * 2) = 5x (24 + 2x) = 5x Solving 24 + 2x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 2x + -5x = 5x + -5x Combine like terms: 2x + -5x = -3x 24 + -3x = 5x + -5x Combine like terms: 5x + -5x = 0 24 + -3x = 0 Add '-24' to each side of the equation. 24 + -24 + -3x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = 0 + -24 -3x = 0 + -24 Combine like terms: 0 + -24 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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