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