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Simplifying 5(2x + -2) = 9(x + 5) Reorder the terms: 5(-2 + 2x) = 9(x + 5) (-2 * 5 + 2x * 5) = 9(x + 5) (-10 + 10x) = 9(x + 5) Reorder the terms: -10 + 10x = 9(5 + x) -10 + 10x = (5 * 9 + x * 9) -10 + 10x = (45 + 9x) Solving -10 + 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. -10 + 10x + -9x = 45 + 9x + -9x Combine like terms: 10x + -9x = 1x -10 + 1x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 -10 + 1x = 45 + 0 -10 + 1x = 45 Add '10' to each side of the equation. -10 + 10 + 1x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 45 + 10 1x = 45 + 10 Combine like terms: 45 + 10 = 55 1x = 55 Divide each side by '1'. x = 55 Simplifying x = 55
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