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Simplifying 2(1 + -5x) = -8(8x + -7) (1 * 2 + -5x * 2) = -8(8x + -7) (2 + -10x) = -8(8x + -7) Reorder the terms: 2 + -10x = -8(-7 + 8x) 2 + -10x = (-7 * -8 + 8x * -8) 2 + -10x = (56 + -64x) Solving 2 + -10x = 56 + -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. 2 + -10x + 64x = 56 + -64x + 64x Combine like terms: -10x + 64x = 54x 2 + 54x = 56 + -64x + 64x Combine like terms: -64x + 64x = 0 2 + 54x = 56 + 0 2 + 54x = 56 Add '-2' to each side of the equation. 2 + -2 + 54x = 56 + -2 Combine like terms: 2 + -2 = 0 0 + 54x = 56 + -2 54x = 56 + -2 Combine like terms: 56 + -2 = 54 54x = 54 Divide each side by '54'. x = 1 Simplifying x = 1
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