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Simplifying -1[3x + -1(2x + 3)] = -6 + -1[3(2x + -4) + -3x] Reorder the terms: -1[3x + -1(3 + 2x)] = -6 + -1[3(2x + -4) + -3x] -1[3x + (3 * -1 + 2x * -1)] = -6 + -1[3(2x + -4) + -3x] -1[3x + (-3 + -2x)] = -6 + -1[3(2x + -4) + -3x] Reorder the terms: -1[-3 + 3x + -2x] = -6 + -1[3(2x + -4) + -3x] Combine like terms: 3x + -2x = 1x -1[-3 + 1x] = -6 + -1[3(2x + -4) + -3x] [-3 * -1 + 1x * -1] = -6 + -1[3(2x + -4) + -3x] [3 + -1x] = -6 + -1[3(2x + -4) + -3x] Reorder the terms: 3 + -1x = -6 + -1[3(-4 + 2x) + -3x] 3 + -1x = -6 + -1[(-4 * 3 + 2x * 3) + -3x] 3 + -1x = -6 + -1[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 3 + -1x = -6 + -1[-12 + 3x] 3 + -1x = -6 + [-12 * -1 + 3x * -1] 3 + -1x = -6 + [12 + -3x] Combine like terms: -6 + 12 = 6 3 + -1x = 6 + -3x Solving 3 + -1x = 6 + -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 + -1x + 3x = 6 + -3x + 3x Combine like terms: -1x + 3x = 2x 3 + 2x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 3 + 2x = 6 + 0 3 + 2x = 6 Add '-3' to each side of the equation. 3 + -3 + 2x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 6 + -3 2x = 6 + -3 Combine like terms: 6 + -3 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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