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