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Simplifying 8(1 + -8x) = x + 8 (1 * 8 + -8x * 8) = x + 8 (8 + -64x) = x + 8 Reorder the terms: 8 + -64x = 8 + x Add '-8' to each side of the equation. 8 + -8 + -64x = 8 + -8 + x Combine like terms: 8 + -8 = 0 0 + -64x = 8 + -8 + x -64x = 8 + -8 + x Combine like terms: 8 + -8 = 0 -64x = 0 + x -64x = x Solving -64x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -64x + -1x = x + -1x Combine like terms: -64x + -1x = -65x -65x = x + -1x Combine like terms: x + -1x = 0 -65x = 0 Divide each side by '-65'. x = 0 Simplifying x = 0
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