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