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Simplifying 3 + -1(2 + -1x) = 2x + -1(1 + -1x) 3 + (2 * -1 + -1x * -1) = 2x + -1(1 + -1x) 3 + (-2 + 1x) = 2x + -1(1 + -1x) Combine like terms: 3 + -2 = 1 1 + 1x = 2x + -1(1 + -1x) 1 + 1x = 2x + (1 * -1 + -1x * -1) 1 + 1x = 2x + (-1 + 1x) Reorder the terms: 1 + 1x = -1 + 2x + 1x Combine like terms: 2x + 1x = 3x 1 + 1x = -1 + 3x Solving 1 + 1x = -1 + 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. 1 + 1x + -3x = -1 + 3x + -3x Combine like terms: 1x + -3x = -2x 1 + -2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -2x = -1 + 0 1 + -2x = -1 Add '-1' to each side of the equation. 1 + -1 + -2x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -1 + -1 -2x = -1 + -1 Combine like terms: -1 + -1 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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