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Simplifying -1[6x + -1(2x + 6)] = -3 + -1[6(2x + -3) + -6x] Reorder the terms: -1[6x + -1(6 + 2x)] = -3 + -1[6(2x + -3) + -6x] -1[6x + (6 * -1 + 2x * -1)] = -3 + -1[6(2x + -3) + -6x] -1[6x + (-6 + -2x)] = -3 + -1[6(2x + -3) + -6x] Reorder the terms: -1[-6 + 6x + -2x] = -3 + -1[6(2x + -3) + -6x] Combine like terms: 6x + -2x = 4x -1[-6 + 4x] = -3 + -1[6(2x + -3) + -6x] [-6 * -1 + 4x * -1] = -3 + -1[6(2x + -3) + -6x] [6 + -4x] = -3 + -1[6(2x + -3) + -6x] Reorder the terms: 6 + -4x = -3 + -1[6(-3 + 2x) + -6x] 6 + -4x = -3 + -1[(-3 * 6 + 2x * 6) + -6x] 6 + -4x = -3 + -1[(-18 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 6 + -4x = -3 + -1[-18 + 6x] 6 + -4x = -3 + [-18 * -1 + 6x * -1] 6 + -4x = -3 + [18 + -6x] Combine like terms: -3 + 18 = 15 6 + -4x = 15 + -6x Solving 6 + -4x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 6 + -4x + 6x = 15 + -6x + 6x Combine like terms: -4x + 6x = 2x 6 + 2x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 2x = 15 + 0 6 + 2x = 15 Add '-6' to each side of the equation. 6 + -6 + 2x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 15 + -6 2x = 15 + -6 Combine like terms: 15 + -6 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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