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Simplifying 32 + -1(2x + 12) = 2(x + 5) + x Reorder the terms: 32 + -1(12 + 2x) = 2(x + 5) + x 32 + (12 * -1 + 2x * -1) = 2(x + 5) + x 32 + (-12 + -2x) = 2(x + 5) + x Combine like terms: 32 + -12 = 20 20 + -2x = 2(x + 5) + x Reorder the terms: 20 + -2x = 2(5 + x) + x 20 + -2x = (5 * 2 + x * 2) + x 20 + -2x = (10 + 2x) + x Combine like terms: 2x + x = 3x 20 + -2x = 10 + 3x Solving 20 + -2x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 20 + -2x + -3x = 10 + 3x + -3x Combine like terms: -2x + -3x = -5x 20 + -5x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + -5x = 10 + 0 20 + -5x = 10 Add '-20' to each side of the equation. 20 + -20 + -5x = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -5x = 10 + -20 -5x = 10 + -20 Combine like terms: 10 + -20 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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