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Simplifying [8(x + 4) + -10] + -1[3(x + -2) + 4] = 0 Reorder the terms: [8(4 + x) + -10] + -1[3(x + -2) + 4] = 0 [(4 * 8 + x * 8) + -10] + -1[3(x + -2) + 4] = 0 [(32 + 8x) + -10] + -1[3(x + -2) + 4] = 0 Reorder the terms: [32 + -10 + 8x] + -1[3(x + -2) + 4] = 0 Combine like terms: 32 + -10 = 22 [22 + 8x] + -1[3(x + -2) + 4] = 0 Remove brackets around [22 + 8x] 22 + 8x + -1[3(x + -2) + 4] = 0 Reorder the terms: 22 + 8x + -1[3(-2 + x) + 4] = 0 22 + 8x + -1[(-2 * 3 + x * 3) + 4] = 0 22 + 8x + -1[(-6 + 3x) + 4] = 0 Reorder the terms: 22 + 8x + -1[-6 + 4 + 3x] = 0 Combine like terms: -6 + 4 = -2 22 + 8x + -1[-2 + 3x] = 0 22 + 8x + [-2 * -1 + 3x * -1] = 0 22 + 8x + [2 + -3x] = 0 Reorder the terms: 22 + 2 + 8x + -3x = 0 Combine like terms: 22 + 2 = 24 24 + 8x + -3x = 0 Combine like terms: 8x + -3x = 5x 24 + 5x = 0 Solving 24 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 5x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 0 + -24 5x = 0 + -24 Combine like terms: 0 + -24 = -24 5x = -24 Divide each side by '5'. x = -4.8 Simplifying x = -4.8
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