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Simplifying 8(8 + -8x) = 6(x + -1) (8 * 8 + -8x * 8) = 6(x + -1) (64 + -64x) = 6(x + -1) Reorder the terms: 64 + -64x = 6(-1 + x) 64 + -64x = (-1 * 6 + x * 6) 64 + -64x = (-6 + 6x) Solving 64 + -64x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 64 + -64x + -6x = -6 + 6x + -6x Combine like terms: -64x + -6x = -70x 64 + -70x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 64 + -70x = -6 + 0 64 + -70x = -6 Add '-64' to each side of the equation. 64 + -64 + -70x = -6 + -64 Combine like terms: 64 + -64 = 0 0 + -70x = -6 + -64 -70x = -6 + -64 Combine like terms: -6 + -64 = -70 -70x = -70 Divide each side by '-70'. x = 1 Simplifying x = 1
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