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