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Simplifying 10(x + -1) = 5(x + 1) Reorder the terms: 10(-1 + x) = 5(x + 1) (-1 * 10 + x * 10) = 5(x + 1) (-10 + 10x) = 5(x + 1) Reorder the terms: -10 + 10x = 5(1 + x) -10 + 10x = (1 * 5 + x * 5) -10 + 10x = (5 + 5x) Solving -10 + 10x = 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. -10 + 10x + -5x = 5 + 5x + -5x Combine like terms: 10x + -5x = 5x -10 + 5x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 5x = 5 + 0 -10 + 5x = 5 Add '10' to each side of the equation. -10 + 10 + 5x = 5 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 5 + 10 5x = 5 + 10 Combine like terms: 5 + 10 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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