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