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Simplifying -1[6x + -1(2x + 6)] = -3[6(2x + -5) + -6x] Reorder the terms: -1[6x + -1(6 + 2x)] = -3[6(2x + -5) + -6x] -1[6x + (6 * -1 + 2x * -1)] = -3[6(2x + -5) + -6x] -1[6x + (-6 + -2x)] = -3[6(2x + -5) + -6x] Reorder the terms: -1[-6 + 6x + -2x] = -3[6(2x + -5) + -6x] Combine like terms: 6x + -2x = 4x -1[-6 + 4x] = -3[6(2x + -5) + -6x] [-6 * -1 + 4x * -1] = -3[6(2x + -5) + -6x] [6 + -4x] = -3[6(2x + -5) + -6x] Reorder the terms: 6 + -4x = -3[6(-5 + 2x) + -6x] 6 + -4x = -3[(-5 * 6 + 2x * 6) + -6x] 6 + -4x = -3[(-30 + 12x) + -6x] Combine like terms: 12x + -6x = 6x 6 + -4x = -3[-30 + 6x] 6 + -4x = [-30 * -3 + 6x * -3] 6 + -4x = [90 + -18x] Solving 6 + -4x = 90 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 6 + -4x + 18x = 90 + -18x + 18x Combine like terms: -4x + 18x = 14x 6 + 14x = 90 + -18x + 18x Combine like terms: -18x + 18x = 0 6 + 14x = 90 + 0 6 + 14x = 90 Add '-6' to each side of the equation. 6 + -6 + 14x = 90 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 90 + -6 14x = 90 + -6 Combine like terms: 90 + -6 = 84 14x = 84 Divide each side by '14'. x = 6 Simplifying x = 6
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