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Simplifying 1(x + 31) = -2(7 + -1x) Reorder the terms: 1(31 + x) = -2(7 + -1x) (31 * 1 + x * 1) = -2(7 + -1x) (31 + 1x) = -2(7 + -1x) 31 + 1x = (7 * -2 + -1x * -2) 31 + 1x = (-14 + 2x) Solving 31 + 1x = -14 + 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. 31 + 1x + -2x = -14 + 2x + -2x Combine like terms: 1x + -2x = -1x 31 + -1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -1x = -14 + 0 31 + -1x = -14 Add '-31' to each side of the equation. 31 + -31 + -1x = -14 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = -14 + -31 -1x = -14 + -31 Combine like terms: -14 + -31 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45
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