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Simplifying -1(8 + -1x) = 2(x + 1) (8 * -1 + -1x * -1) = 2(x + 1) (-8 + 1x) = 2(x + 1) Reorder the terms: -8 + 1x = 2(1 + x) -8 + 1x = (1 * 2 + x * 2) -8 + 1x = (2 + 2x) Solving -8 + 1x = 2 + 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. -8 + 1x + -2x = 2 + 2x + -2x Combine like terms: 1x + -2x = -1x -8 + -1x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -1x = 2 + 0 -8 + -1x = 2 Add '8' to each side of the equation. -8 + 8 + -1x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 2 + 8 -1x = 2 + 8 Combine like terms: 2 + 8 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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