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Simplifying -2(x + -9) = 5x + -31 Reorder the terms: -2(-9 + x) = 5x + -31 (-9 * -2 + x * -2) = 5x + -31 (18 + -2x) = 5x + -31 Reorder the terms: 18 + -2x = -31 + 5x Solving 18 + -2x = -31 + 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. 18 + -2x + -5x = -31 + 5x + -5x Combine like terms: -2x + -5x = -7x 18 + -7x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -7x = -31 + 0 18 + -7x = -31 Add '-18' to each side of the equation. 18 + -18 + -7x = -31 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -31 + -18 -7x = -31 + -18 Combine like terms: -31 + -18 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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