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Simplifying 8[1 + -1(-4x + -9)] = 64x + 152 Reorder the terms: 8[1 + -1(-9 + -4x)] = 64x + 152 8[1 + (-9 * -1 + -4x * -1)] = 64x + 152 8[1 + (9 + 4x)] = 64x + 152 Combine like terms: 1 + 9 = 10 8[10 + 4x] = 64x + 152 [10 * 8 + 4x * 8] = 64x + 152 [80 + 32x] = 64x + 152 Reorder the terms: 80 + 32x = 152 + 64x Solving 80 + 32x = 152 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. 80 + 32x + -64x = 152 + 64x + -64x Combine like terms: 32x + -64x = -32x 80 + -32x = 152 + 64x + -64x Combine like terms: 64x + -64x = 0 80 + -32x = 152 + 0 80 + -32x = 152 Add '-80' to each side of the equation. 80 + -80 + -32x = 152 + -80 Combine like terms: 80 + -80 = 0 0 + -32x = 152 + -80 -32x = 152 + -80 Combine like terms: 152 + -80 = 72 -32x = 72 Divide each side by '-32'. x = -2.25 Simplifying x = -2.25
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