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Simplifying -1[9x + -1(2x + 6)] = -3[(3x + -4) + -3x] Reorder the terms: -1[9x + -1(6 + 2x)] = -3[(3x + -4) + -3x] -1[9x + (6 * -1 + 2x * -1)] = -3[(3x + -4) + -3x] -1[9x + (-6 + -2x)] = -3[(3x + -4) + -3x] Reorder the terms: -1[-6 + 9x + -2x] = -3[(3x + -4) + -3x] Combine like terms: 9x + -2x = 7x -1[-6 + 7x] = -3[(3x + -4) + -3x] [-6 * -1 + 7x * -1] = -3[(3x + -4) + -3x] [6 + -7x] = -3[(3x + -4) + -3x] Reorder the terms: 6 + -7x = -3[(-4 + 3x) + -3x] Remove parenthesis around (-4 + 3x) 6 + -7x = -3[-4 + 3x + -3x] Combine like terms: 3x + -3x = 0 6 + -7x = -3[-4 + 0] 6 + -7x = -3[-4] Multiply -3 * -4 6 + -7x = 12 Solving 6 + -7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 12 + -6 -7x = 12 + -6 Combine like terms: 12 + -6 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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