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Simplifying -2(5 + -1x) + 2(6 + -1(x + -1)) = -2x (5 * -2 + -1x * -2) + 2(6 + -1(x + -1)) = -2x (-10 + 2x) + 2(6 + -1(x + -1)) = -2x Reorder the terms: -10 + 2x + 2(6 + -1(-1 + x)) = -2x -10 + 2x + 2(6 + (-1 * -1 + x * -1)) = -2x -10 + 2x + 2(6 + (1 + -1x)) = -2x Combine like terms: 6 + 1 = 7 -10 + 2x + 2(7 + -1x) = -2x -10 + 2x + (7 * 2 + -1x * 2) = -2x -10 + 2x + (14 + -2x) = -2x Reorder the terms: -10 + 14 + 2x + -2x = -2x Combine like terms: -10 + 14 = 4 4 + 2x + -2x = -2x Combine like terms: 2x + -2x = 0 4 + 0 = -2x 4 = -2x Solving 4 = -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. 4 + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 4 + 2x = 0 Add '-4' to each side of the equation. 4 + -4 + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 0 + -4 2x = 0 + -4 Combine like terms: 0 + -4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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