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Simplifying [6(x + 4) + -12] + -1[5(x + -8) + 14] = 0 Reorder the terms: [6(4 + x) + -12] + -1[5(x + -8) + 14] = 0 [(4 * 6 + x * 6) + -12] + -1[5(x + -8) + 14] = 0 [(24 + 6x) + -12] + -1[5(x + -8) + 14] = 0 Reorder the terms: [24 + -12 + 6x] + -1[5(x + -8) + 14] = 0 Combine like terms: 24 + -12 = 12 [12 + 6x] + -1[5(x + -8) + 14] = 0 Remove brackets around [12 + 6x] 12 + 6x + -1[5(x + -8) + 14] = 0 Reorder the terms: 12 + 6x + -1[5(-8 + x) + 14] = 0 12 + 6x + -1[(-8 * 5 + x * 5) + 14] = 0 12 + 6x + -1[(-40 + 5x) + 14] = 0 Reorder the terms: 12 + 6x + -1[-40 + 14 + 5x] = 0 Combine like terms: -40 + 14 = -26 12 + 6x + -1[-26 + 5x] = 0 12 + 6x + [-26 * -1 + 5x * -1] = 0 12 + 6x + [26 + -5x] = 0 Reorder the terms: 12 + 26 + 6x + -5x = 0 Combine like terms: 12 + 26 = 38 38 + 6x + -5x = 0 Combine like terms: 6x + -5x = 1x 38 + 1x = 0 Solving 38 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 1x = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 0 + -38 1x = 0 + -38 Combine like terms: 0 + -38 = -38 1x = -38 Divide each side by '1'. x = -38 Simplifying x = -38
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