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Simplifying [6(x + 4) + -12] + -1[5(x + -8) + 11] = 0 Reorder the terms: [6(4 + x) + -12] + -1[5(x + -8) + 11] = 0 [(4 * 6 + x * 6) + -12] + -1[5(x + -8) + 11] = 0 [(24 + 6x) + -12] + -1[5(x + -8) + 11] = 0 Reorder the terms: [24 + -12 + 6x] + -1[5(x + -8) + 11] = 0 Combine like terms: 24 + -12 = 12 [12 + 6x] + -1[5(x + -8) + 11] = 0 Remove brackets around [12 + 6x] 12 + 6x + -1[5(x + -8) + 11] = 0 Reorder the terms: 12 + 6x + -1[5(-8 + x) + 11] = 0 12 + 6x + -1[(-8 * 5 + x * 5) + 11] = 0 12 + 6x + -1[(-40 + 5x) + 11] = 0 Reorder the terms: 12 + 6x + -1[-40 + 11 + 5x] = 0 Combine like terms: -40 + 11 = -29 12 + 6x + -1[-29 + 5x] = 0 12 + 6x + [-29 * -1 + 5x * -1] = 0 12 + 6x + [29 + -5x] = 0 Reorder the terms: 12 + 29 + 6x + -5x = 0 Combine like terms: 12 + 29 = 41 41 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 41 + 1x = 0 Solving 41 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 1x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 1x = 0 + -41 1x = 0 + -41 Combine like terms: 0 + -41 = -41 1x = -41 Divide each side by '1'. x = -41 Simplifying x = -41
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