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Simplifying 4[1 + -1(-2x + -2)] = 72x + 76 Reorder the terms: 4[1 + -1(-2 + -2x)] = 72x + 76 4[1 + (-2 * -1 + -2x * -1)] = 72x + 76 4[1 + (2 + 2x)] = 72x + 76 Combine like terms: 1 + 2 = 3 4[3 + 2x] = 72x + 76 [3 * 4 + 2x * 4] = 72x + 76 [12 + 8x] = 72x + 76 Reorder the terms: 12 + 8x = 76 + 72x Solving 12 + 8x = 76 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 12 + 8x + -72x = 76 + 72x + -72x Combine like terms: 8x + -72x = -64x 12 + -64x = 76 + 72x + -72x Combine like terms: 72x + -72x = 0 12 + -64x = 76 + 0 12 + -64x = 76 Add '-12' to each side of the equation. 12 + -12 + -64x = 76 + -12 Combine like terms: 12 + -12 = 0 0 + -64x = 76 + -12 -64x = 76 + -12 Combine like terms: 76 + -12 = 64 -64x = 64 Divide each side by '-64'. x = -1 Simplifying x = -1
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