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Simplifying [4(x + 5) + -8] + -1[3 + -4(x + -2)] = 0 Reorder the terms: [4(5 + x) + -8] + -1[3 + -4(x + -2)] = 0 [(5 * 4 + x * 4) + -8] + -1[3 + -4(x + -2)] = 0 [(20 + 4x) + -8] + -1[3 + -4(x + -2)] = 0 Reorder the terms: [20 + -8 + 4x] + -1[3 + -4(x + -2)] = 0 Combine like terms: 20 + -8 = 12 [12 + 4x] + -1[3 + -4(x + -2)] = 0 Remove brackets around [12 + 4x] 12 + 4x + -1[3 + -4(x + -2)] = 0 Reorder the terms: 12 + 4x + -1[3 + -4(-2 + x)] = 0 12 + 4x + -1[3 + (-2 * -4 + x * -4)] = 0 12 + 4x + -1[3 + (8 + -4x)] = 0 Combine like terms: 3 + 8 = 11 12 + 4x + -1[11 + -4x] = 0 12 + 4x + [11 * -1 + -4x * -1] = 0 12 + 4x + [-11 + 4x] = 0 Reorder the terms: 12 + -11 + 4x + 4x = 0 Combine like terms: 12 + -11 = 1 1 + 4x + 4x = 0 Combine like terms: 4x + 4x = 8x 1 + 8x = 0 Solving 1 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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