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