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Simplifying -1[3x + -1(2x + 6)] = -1 + -1[3(2x + -4) + -3x] Reorder the terms: -1[3x + -1(6 + 2x)] = -1 + -1[3(2x + -4) + -3x] -1[3x + (6 * -1 + 2x * -1)] = -1 + -1[3(2x + -4) + -3x] -1[3x + (-6 + -2x)] = -1 + -1[3(2x + -4) + -3x] Reorder the terms: -1[-6 + 3x + -2x] = -1 + -1[3(2x + -4) + -3x] Combine like terms: 3x + -2x = 1x -1[-6 + 1x] = -1 + -1[3(2x + -4) + -3x] [-6 * -1 + 1x * -1] = -1 + -1[3(2x + -4) + -3x] [6 + -1x] = -1 + -1[3(2x + -4) + -3x] Reorder the terms: 6 + -1x = -1 + -1[3(-4 + 2x) + -3x] 6 + -1x = -1 + -1[(-4 * 3 + 2x * 3) + -3x] 6 + -1x = -1 + -1[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 6 + -1x = -1 + -1[-12 + 3x] 6 + -1x = -1 + [-12 * -1 + 3x * -1] 6 + -1x = -1 + [12 + -3x] Combine like terms: -1 + 12 = 11 6 + -1x = 11 + -3x Solving 6 + -1x = 11 + -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. 6 + -1x + 3x = 11 + -3x + 3x Combine like terms: -1x + 3x = 2x 6 + 2x = 11 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 2x = 11 + 0 6 + 2x = 11 Add '-6' to each side of the equation. 6 + -6 + 2x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 11 + -6 2x = 11 + -6 Combine like terms: 11 + -6 = 5 2x = 5 Divide each side by '2'. x = 2.5 Simplifying x = 2.5
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