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Simplifying -1[3x + -1(2x + 6)] = -2[3(2x + -5) + -3x] Reorder the terms: -1[3x + -1(6 + 2x)] = -2[3(2x + -5) + -3x] -1[3x + (6 * -1 + 2x * -1)] = -2[3(2x + -5) + -3x] -1[3x + (-6 + -2x)] = -2[3(2x + -5) + -3x] Reorder the terms: -1[-6 + 3x + -2x] = -2[3(2x + -5) + -3x] Combine like terms: 3x + -2x = 1x -1[-6 + 1x] = -2[3(2x + -5) + -3x] [-6 * -1 + 1x * -1] = -2[3(2x + -5) + -3x] [6 + -1x] = -2[3(2x + -5) + -3x] Reorder the terms: 6 + -1x = -2[3(-5 + 2x) + -3x] 6 + -1x = -2[(-5 * 3 + 2x * 3) + -3x] 6 + -1x = -2[(-15 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 6 + -1x = -2[-15 + 3x] 6 + -1x = [-15 * -2 + 3x * -2] 6 + -1x = [30 + -6x] Solving 6 + -1x = 30 + -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 + -1x + 6x = 30 + -6x + 6x Combine like terms: -1x + 6x = 5x 6 + 5x = 30 + -6x + 6x Combine like terms: -6x + 6x = 0 6 + 5x = 30 + 0 6 + 5x = 30 Add '-6' to each side of the equation. 6 + -6 + 5x = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = 30 + -6 5x = 30 + -6 Combine like terms: 30 + -6 = 24 5x = 24 Divide each side by '5'. x = 4.8 Simplifying x = 4.8
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