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Simplifying 8[1 + -1(-2x + -2)] = 64x + 72 Reorder the terms: 8[1 + -1(-2 + -2x)] = 64x + 72 8[1 + (-2 * -1 + -2x * -1)] = 64x + 72 8[1 + (2 + 2x)] = 64x + 72 Combine like terms: 1 + 2 = 3 8[3 + 2x] = 64x + 72 [3 * 8 + 2x * 8] = 64x + 72 [24 + 16x] = 64x + 72 Reorder the terms: 24 + 16x = 72 + 64x Solving 24 + 16x = 72 + 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. 24 + 16x + -64x = 72 + 64x + -64x Combine like terms: 16x + -64x = -48x 24 + -48x = 72 + 64x + -64x Combine like terms: 64x + -64x = 0 24 + -48x = 72 + 0 24 + -48x = 72 Add '-24' to each side of the equation. 24 + -24 + -48x = 72 + -24 Combine like terms: 24 + -24 = 0 0 + -48x = 72 + -24 -48x = 72 + -24 Combine like terms: 72 + -24 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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