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Simplifying 10(x + -1) = 10 + 5(x + 5) Reorder the terms: 10(-1 + x) = 10 + 5(x + 5) (-1 * 10 + x * 10) = 10 + 5(x + 5) (-10 + 10x) = 10 + 5(x + 5) Reorder the terms: -10 + 10x = 10 + 5(5 + x) -10 + 10x = 10 + (5 * 5 + x * 5) -10 + 10x = 10 + (25 + 5x) Combine like terms: 10 + 25 = 35 -10 + 10x = 35 + 5x Solving -10 + 10x = 35 + 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 = 35 + 5x + -5x Combine like terms: 10x + -5x = 5x -10 + 5x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 5x = 35 + 0 -10 + 5x = 35 Add '10' to each side of the equation. -10 + 10 + 5x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = 35 + 10 5x = 35 + 10 Combine like terms: 35 + 10 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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