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Simplifying 5(x + 1) = -5 + -5x Reorder the terms: 5(1 + x) = -5 + -5x (1 * 5 + x * 5) = -5 + -5x (5 + 5x) = -5 + -5x Solving 5 + 5x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 5x + 5x = -5 + -5x + 5x Combine like terms: 5x + 5x = 10x 5 + 10x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 10x = -5 + 0 5 + 10x = -5 Add '-5' to each side of the equation. 5 + -5 + 10x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = -5 + -5 10x = -5 + -5 Combine like terms: -5 + -5 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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