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Simplifying 5(65x + -90) = 7(34x + 9) Reorder the terms: 5(-90 + 65x) = 7(34x + 9) (-90 * 5 + 65x * 5) = 7(34x + 9) (-450 + 325x) = 7(34x + 9) Reorder the terms: -450 + 325x = 7(9 + 34x) -450 + 325x = (9 * 7 + 34x * 7) -450 + 325x = (63 + 238x) Solving -450 + 325x = 63 + 238x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-238x' to each side of the equation. -450 + 325x + -238x = 63 + 238x + -238x Combine like terms: 325x + -238x = 87x -450 + 87x = 63 + 238x + -238x Combine like terms: 238x + -238x = 0 -450 + 87x = 63 + 0 -450 + 87x = 63 Add '450' to each side of the equation. -450 + 450 + 87x = 63 + 450 Combine like terms: -450 + 450 = 0 0 + 87x = 63 + 450 87x = 63 + 450 Combine like terms: 63 + 450 = 513 87x = 513 Divide each side by '87'. x = 5.896551724 Simplifying x = 5.896551724
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