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Simplifying x + -1[x + -2(2 + -1x) + -1] = -1(1 + -1x) x + -1[x + (2 * -2 + -1x * -2) + -1] = -1(1 + -1x) x + -1[x + (-4 + 2x) + -1] = -1(1 + -1x) Reorder the terms: x + -1[-4 + -1 + x + 2x] = -1(1 + -1x) Combine like terms: -4 + -1 = -5 x + -1[-5 + x + 2x] = -1(1 + -1x) Combine like terms: x + 2x = 3x x + -1[-5 + 3x] = -1(1 + -1x) x + [-5 * -1 + 3x * -1] = -1(1 + -1x) x + [5 + -3x] = -1(1 + -1x) Reorder the terms: 5 + x + -3x = -1(1 + -1x) Combine like terms: x + -3x = -2x 5 + -2x = -1(1 + -1x) 5 + -2x = (1 * -1 + -1x * -1) 5 + -2x = (-1 + 1x) Solving 5 + -2x = -1 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 5 + -2x + -1x = -1 + 1x + -1x Combine like terms: -2x + -1x = -3x 5 + -3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 5 + -3x = -1 + 0 5 + -3x = -1 Add '-5' to each side of the equation. 5 + -5 + -3x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -1 + -5 -3x = -1 + -5 Combine like terms: -1 + -5 = -6 -3x = -6 Divide each side by '-3'. x = 2 Simplifying x = 2
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