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Simplifying 8[4 + -1(-2x + -4)] = 32x + 96 Reorder the terms: 8[4 + -1(-4 + -2x)] = 32x + 96 8[4 + (-4 * -1 + -2x * -1)] = 32x + 96 8[4 + (4 + 2x)] = 32x + 96 Combine like terms: 4 + 4 = 8 8[8 + 2x] = 32x + 96 [8 * 8 + 2x * 8] = 32x + 96 [64 + 16x] = 32x + 96 Reorder the terms: 64 + 16x = 96 + 32x Solving 64 + 16x = 96 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 64 + 16x + -32x = 96 + 32x + -32x Combine like terms: 16x + -32x = -16x 64 + -16x = 96 + 32x + -32x Combine like terms: 32x + -32x = 0 64 + -16x = 96 + 0 64 + -16x = 96 Add '-64' to each side of the equation. 64 + -64 + -16x = 96 + -64 Combine like terms: 64 + -64 = 0 0 + -16x = 96 + -64 -16x = 96 + -64 Combine like terms: 96 + -64 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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