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Simplifying -1(1 + -1x) + -1(2x + -1(3 + -1x)) = 8 (1 * -1 + -1x * -1) + -1(2x + -1(3 + -1x)) = 8 (-1 + 1x) + -1(2x + -1(3 + -1x)) = 8 -1 + 1x + -1(2x + (3 * -1 + -1x * -1)) = 8 -1 + 1x + -1(2x + (-3 + 1x)) = 8 Reorder the terms: -1 + 1x + -1(-3 + 2x + 1x) = 8 Combine like terms: 2x + 1x = 3x -1 + 1x + -1(-3 + 3x) = 8 -1 + 1x + (-3 * -1 + 3x * -1) = 8 -1 + 1x + (3 + -3x) = 8 Reorder the terms: -1 + 3 + 1x + -3x = 8 Combine like terms: -1 + 3 = 2 2 + 1x + -3x = 8 Combine like terms: 1x + -3x = -2x 2 + -2x = 8 Solving 2 + -2x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -2x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 8 + -2 -2x = 8 + -2 Combine like terms: 8 + -2 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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