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Simplifying 8(1 + -8x) + -2 = 6 + -2x (1 * 8 + -8x * 8) + -2 = 6 + -2x (8 + -64x) + -2 = 6 + -2x Reorder the terms: 8 + -2 + -64x = 6 + -2x Combine like terms: 8 + -2 = 6 6 + -64x = 6 + -2x Add '-6' to each side of the equation. 6 + -6 + -64x = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 0 + -64x = 6 + -6 + -2x -64x = 6 + -6 + -2x Combine like terms: 6 + -6 = 0 -64x = 0 + -2x -64x = -2x Solving -64x = -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -64x + 2x = -2x + 2x Combine like terms: -64x + 2x = -62x -62x = -2x + 2x Combine like terms: -2x + 2x = 0 -62x = 0 Divide each side by '-62'. x = 0 Simplifying x = 0
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