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Simplifying 5(1 + x) = -1(x + -5) (1 * 5 + x * 5) = -1(x + -5) (5 + 5x) = -1(x + -5) Reorder the terms: 5 + 5x = -1(-5 + x) 5 + 5x = (-5 * -1 + x * -1) 5 + 5x = (5 + -1x) Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + -5 + -1x Combine like terms: 5 + -5 = 0 0 + 5x = 5 + -5 + -1x 5x = 5 + -5 + -1x Combine like terms: 5 + -5 = 0 5x = 0 + -1x 5x = -1x Solving 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5x + x = -1x + x Combine like terms: 5x + x = 6x 6x = -1x + x Combine like terms: -1x + x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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