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Simplifying 5(x + -5) + 2(x + 5) = 45 Reorder the terms: 5(-5 + x) + 2(x + 5) = 45 (-5 * 5 + x * 5) + 2(x + 5) = 45 (-25 + 5x) + 2(x + 5) = 45 Reorder the terms: -25 + 5x + 2(5 + x) = 45 -25 + 5x + (5 * 2 + x * 2) = 45 -25 + 5x + (10 + 2x) = 45 Reorder the terms: -25 + 10 + 5x + 2x = 45 Combine like terms: -25 + 10 = -15 -15 + 5x + 2x = 45 Combine like terms: 5x + 2x = 7x -15 + 7x = 45 Solving -15 + 7x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7x = 45 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 45 + 15 7x = 45 + 15 Combine like terms: 45 + 15 = 60 7x = 60 Divide each side by '7'. x = 8.571428571 Simplifying x = 8.571428571
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