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Simplifying -5(x + -1) = x + -1 Reorder the terms: -5(-1 + x) = x + -1 (-1 * -5 + x * -5) = x + -1 (5 + -5x) = x + -1 Reorder the terms: 5 + -5x = -1 + x Solving 5 + -5x = -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. 5 + -5x + -1x = -1 + x + -1x Combine like terms: -5x + -1x = -6x 5 + -6x = -1 + x + -1x Combine like terms: x + -1x = 0 5 + -6x = -1 + 0 5 + -6x = -1 Add '-5' to each side of the equation. 5 + -5 + -6x = -1 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -1 + -5 -6x = -1 + -5 Combine like terms: -1 + -5 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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