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Simplifying 4[1 + -1(-8x + -4)] = 96x + 52 Reorder the terms: 4[1 + -1(-4 + -8x)] = 96x + 52 4[1 + (-4 * -1 + -8x * -1)] = 96x + 52 4[1 + (4 + 8x)] = 96x + 52 Combine like terms: 1 + 4 = 5 4[5 + 8x] = 96x + 52 [5 * 4 + 8x * 4] = 96x + 52 [20 + 32x] = 96x + 52 Reorder the terms: 20 + 32x = 52 + 96x Solving 20 + 32x = 52 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 20 + 32x + -96x = 52 + 96x + -96x Combine like terms: 32x + -96x = -64x 20 + -64x = 52 + 96x + -96x Combine like terms: 96x + -96x = 0 20 + -64x = 52 + 0 20 + -64x = 52 Add '-20' to each side of the equation. 20 + -20 + -64x = 52 + -20 Combine like terms: 20 + -20 = 0 0 + -64x = 52 + -20 -64x = 52 + -20 Combine like terms: 52 + -20 = 32 -64x = 32 Divide each side by '-64'. x = -0.5 Simplifying x = -0.5
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