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Simplifying 5(67x + -9) = 9(45x + 9) Reorder the terms: 5(-9 + 67x) = 9(45x + 9) (-9 * 5 + 67x * 5) = 9(45x + 9) (-45 + 335x) = 9(45x + 9) Reorder the terms: -45 + 335x = 9(9 + 45x) -45 + 335x = (9 * 9 + 45x * 9) -45 + 335x = (81 + 405x) Solving -45 + 335x = 81 + 405x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-405x' to each side of the equation. -45 + 335x + -405x = 81 + 405x + -405x Combine like terms: 335x + -405x = -70x -45 + -70x = 81 + 405x + -405x Combine like terms: 405x + -405x = 0 -45 + -70x = 81 + 0 -45 + -70x = 81 Add '45' to each side of the equation. -45 + 45 + -70x = 81 + 45 Combine like terms: -45 + 45 = 0 0 + -70x = 81 + 45 -70x = 81 + 45 Combine like terms: 81 + 45 = 126 -70x = 126 Divide each side by '-70'. x = -1.8 Simplifying x = -1.8
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