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Simplifying 5(2x + -5) = 9(x + 5) Reorder the terms: 5(-5 + 2x) = 9(x + 5) (-5 * 5 + 2x * 5) = 9(x + 5) (-25 + 10x) = 9(x + 5) Reorder the terms: -25 + 10x = 9(5 + x) -25 + 10x = (5 * 9 + x * 9) -25 + 10x = (45 + 9x) Solving -25 + 10x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -25 + 10x + -9x = 45 + 9x + -9x Combine like terms: 10x + -9x = 1x -25 + 1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -25 + 1x = 45 + 0 -25 + 1x = 45 Add '25' to each side of the equation. -25 + 25 + 1x = 45 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = 45 + 25 1x = 45 + 25 Combine like terms: 45 + 25 = 70 1x = 70 Divide each side by '1'. x = 70 Simplifying x = 70
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