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Simplifying 32 + -1(2x + 10) = 2(x + 6) + x Reorder the terms: 32 + -1(10 + 2x) = 2(x + 6) + x 32 + (10 * -1 + 2x * -1) = 2(x + 6) + x 32 + (-10 + -2x) = 2(x + 6) + x Combine like terms: 32 + -10 = 22 22 + -2x = 2(x + 6) + x Reorder the terms: 22 + -2x = 2(6 + x) + x 22 + -2x = (6 * 2 + x * 2) + x 22 + -2x = (12 + 2x) + x Combine like terms: 2x + x = 3x 22 + -2x = 12 + 3x Solving 22 + -2x = 12 + 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. 22 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x 22 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + -5x = 12 + 0 22 + -5x = 12 Add '-22' to each side of the equation. 22 + -22 + -5x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -5x = 12 + -22 -5x = 12 + -22 Combine like terms: 12 + -22 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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