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Simplifying 2(x + 12) = 5x + -12 Reorder the terms: 2(12 + x) = 5x + -12 (12 * 2 + x * 2) = 5x + -12 (24 + 2x) = 5x + -12 Reorder the terms: 24 + 2x = -12 + 5x Solving 24 + 2x = -12 + 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 = -12 + 5x + -5x Combine like terms: 2x + -5x = -3x 24 + -3x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + -3x = -12 + 0 24 + -3x = -12 Add '-24' to each side of the equation. 24 + -24 + -3x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -3x = -12 + -24 -3x = -12 + -24 Combine like terms: -12 + -24 = -36 -3x = -36 Divide each side by '-3'. x = 12 Simplifying x = 12
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