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Simplifying 8(8x + -1) = 4x + -8(1 + 8x) Reorder the terms: 8(-1 + 8x) = 4x + -8(1 + 8x) (-1 * 8 + 8x * 8) = 4x + -8(1 + 8x) (-8 + 64x) = 4x + -8(1 + 8x) -8 + 64x = 4x + (1 * -8 + 8x * -8) -8 + 64x = 4x + (-8 + -64x) Reorder the terms: -8 + 64x = -8 + 4x + -64x Combine like terms: 4x + -64x = -60x -8 + 64x = -8 + -60x Add '8' to each side of the equation. -8 + 8 + 64x = -8 + 8 + -60x Combine like terms: -8 + 8 = 0 0 + 64x = -8 + 8 + -60x 64x = -8 + 8 + -60x Combine like terms: -8 + 8 = 0 64x = 0 + -60x 64x = -60x Solving 64x = -60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60x' to each side of the equation. 64x + 60x = -60x + 60x Combine like terms: 64x + 60x = 124x 124x = -60x + 60x Combine like terms: -60x + 60x = 0 124x = 0 Divide each side by '124'. x = 0 Simplifying x = 0
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