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Simplifying 4[8 + -1(-5x + -8)] = 40x + 96 Reorder the terms: 4[8 + -1(-8 + -5x)] = 40x + 96 4[8 + (-8 * -1 + -5x * -1)] = 40x + 96 4[8 + (8 + 5x)] = 40x + 96 Combine like terms: 8 + 8 = 16 4[16 + 5x] = 40x + 96 [16 * 4 + 5x * 4] = 40x + 96 [64 + 20x] = 40x + 96 Reorder the terms: 64 + 20x = 96 + 40x Solving 64 + 20x = 96 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 64 + 20x + -40x = 96 + 40x + -40x Combine like terms: 20x + -40x = -20x 64 + -20x = 96 + 40x + -40x Combine like terms: 40x + -40x = 0 64 + -20x = 96 + 0 64 + -20x = 96 Add '-64' to each side of the equation. 64 + -64 + -20x = 96 + -64 Combine like terms: 64 + -64 = 0 0 + -20x = 96 + -64 -20x = 96 + -64 Combine like terms: 96 + -64 = 32 -20x = 32 Divide each side by '-20'. x = -1.6 Simplifying x = -1.6
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