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Simplifying 8(1 + -7x) + -12x = 8(1 + -8x) (1 * 8 + -7x * 8) + -12x = 8(1 + -8x) (8 + -56x) + -12x = 8(1 + -8x) Combine like terms: -56x + -12x = -68x 8 + -68x = 8(1 + -8x) 8 + -68x = (1 * 8 + -8x * 8) 8 + -68x = (8 + -64x) Add '-8' to each side of the equation. 8 + -8 + -68x = 8 + -8 + -64x Combine like terms: 8 + -8 = 0 0 + -68x = 8 + -8 + -64x -68x = 8 + -8 + -64x Combine like terms: 8 + -8 = 0 -68x = 0 + -64x -68x = -64x Solving -68x = -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. -68x + 64x = -64x + 64x Combine like terms: -68x + 64x = -4x -4x = -64x + 64x Combine like terms: -64x + 64x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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