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Simplifying -1(2x + -8) = -7x + -1(1 + -8x) Reorder the terms: -1(-8 + 2x) = -7x + -1(1 + -8x) (-8 * -1 + 2x * -1) = -7x + -1(1 + -8x) (8 + -2x) = -7x + -1(1 + -8x) 8 + -2x = -7x + (1 * -1 + -8x * -1) 8 + -2x = -7x + (-1 + 8x) Reorder the terms: 8 + -2x = -1 + -7x + 8x Combine like terms: -7x + 8x = 1x 8 + -2x = -1 + 1x Solving 8 + -2x = -1 + 1x 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. 8 + -2x + -1x = -1 + 1x + -1x Combine like terms: -2x + -1x = -3x 8 + -3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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