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Simplifying 5(x + -1) = 2(x + 5) Reorder the terms: 5(-1 + x) = 2(x + 5) (-1 * 5 + x * 5) = 2(x + 5) (-5 + 5x) = 2(x + 5) Reorder the terms: -5 + 5x = 2(5 + x) -5 + 5x = (5 * 2 + x * 2) -5 + 5x = (10 + 2x) Solving -5 + 5x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 5x + -2x = 10 + 2x + -2x Combine like terms: 5x + -2x = 3x -5 + 3x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 3x = 10 + 0 -5 + 3x = 10 Add '5' to each side of the equation. -5 + 5 + 3x = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 10 + 5 3x = 10 + 5 Combine like terms: 10 + 5 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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