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Simplifying -1(x + -2) = 2(x + 9) + -5x Reorder the terms: -1(-2 + x) = 2(x + 9) + -5x (-2 * -1 + x * -1) = 2(x + 9) + -5x (2 + -1x) = 2(x + 9) + -5x Reorder the terms: 2 + -1x = 2(9 + x) + -5x 2 + -1x = (9 * 2 + x * 2) + -5x 2 + -1x = (18 + 2x) + -5x Combine like terms: 2x + -5x = -3x 2 + -1x = 18 + -3x Solving 2 + -1x = 18 + -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. 2 + -1x + 3x = 18 + -3x + 3x Combine like terms: -1x + 3x = 2x 2 + 2x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 2 + 2x = 18 + 0 2 + 2x = 18 Add '-2' to each side of the equation. 2 + -2 + 2x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 18 + -2 2x = 18 + -2 Combine like terms: 18 + -2 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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