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Simplifying -1x + 2 + -1[-1(x + -2) + 5 + 2x] = 2x + -1 + 2(x + -1) Reorder the terms: -1x + 2 + -1[-1(-2 + x) + 5 + 2x] = 2x + -1 + 2(x + -1) -1x + 2 + -1[(-2 * -1 + x * -1) + 5 + 2x] = 2x + -1 + 2(x + -1) -1x + 2 + -1[(2 + -1x) + 5 + 2x] = 2x + -1 + 2(x + -1) Reorder the terms: -1x + 2 + -1[2 + 5 + -1x + 2x] = 2x + -1 + 2(x + -1) Combine like terms: 2 + 5 = 7 -1x + 2 + -1[7 + -1x + 2x] = 2x + -1 + 2(x + -1) Combine like terms: -1x + 2x = 1x -1x + 2 + -1[7 + 1x] = 2x + -1 + 2(x + -1) -1x + 2 + [7 * -1 + 1x * -1] = 2x + -1 + 2(x + -1) -1x + 2 + [-7 + -1x] = 2x + -1 + 2(x + -1) Reorder the terms: 2 + -7 + -1x + -1x = 2x + -1 + 2(x + -1) Combine like terms: 2 + -7 = -5 -5 + -1x + -1x = 2x + -1 + 2(x + -1) Combine like terms: -1x + -1x = -2x -5 + -2x = 2x + -1 + 2(x + -1) Reorder the terms: -5 + -2x = 2x + -1 + 2(-1 + x) -5 + -2x = 2x + -1 + (-1 * 2 + x * 2) -5 + -2x = 2x + -1 + (-2 + 2x) Reorder the terms: -5 + -2x = -1 + -2 + 2x + 2x Combine like terms: -1 + -2 = -3 -5 + -2x = -3 + 2x + 2x Combine like terms: 2x + 2x = 4x -5 + -2x = -3 + 4x Solving -5 + -2x = -3 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + -2x + -4x = -3 + 4x + -4x Combine like terms: -2x + -4x = -6x -5 + -6x = -3 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -6x = -3 + 0 -5 + -6x = -3 Add '5' to each side of the equation. -5 + 5 + -6x = -3 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -3 + 5 -6x = -3 + 5 Combine like terms: -3 + 5 = 2 -6x = 2 Divide each side by '-6'. x = -0.3333333333 Simplifying x = -0.3333333333
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