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Simplifying 2 + -1(3x + -1) = 2(1 + -2x) Reorder the terms: 2 + -1(-1 + 3x) = 2(1 + -2x) 2 + (-1 * -1 + 3x * -1) = 2(1 + -2x) 2 + (1 + -3x) = 2(1 + -2x) Combine like terms: 2 + 1 = 3 3 + -3x = 2(1 + -2x) 3 + -3x = (1 * 2 + -2x * 2) 3 + -3x = (2 + -4x) Solving 3 + -3x = 2 + -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. 3 + -3x + 4x = 2 + -4x + 4x Combine like terms: -3x + 4x = 1x 3 + 1x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 1x = 2 + 0 3 + 1x = 2 Add '-3' to each side of the equation. 3 + -3 + 1x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 2 + -3 1x = 2 + -3 Combine like terms: 2 + -3 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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