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Simplifying 9(5x + 9) = 9(8x + 5) Reorder the terms: 9(9 + 5x) = 9(8x + 5) (9 * 9 + 5x * 9) = 9(8x + 5) (81 + 45x) = 9(8x + 5) Reorder the terms: 81 + 45x = 9(5 + 8x) 81 + 45x = (5 * 9 + 8x * 9) 81 + 45x = (45 + 72x) Solving 81 + 45x = 45 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. 81 + 45x + -72x = 45 + 72x + -72x Combine like terms: 45x + -72x = -27x 81 + -27x = 45 + 72x + -72x Combine like terms: 72x + -72x = 0 81 + -27x = 45 + 0 81 + -27x = 45 Add '-81' to each side of the equation. 81 + -81 + -27x = 45 + -81 Combine like terms: 81 + -81 = 0 0 + -27x = 45 + -81 -27x = 45 + -81 Combine like terms: 45 + -81 = -36 -27x = -36 Divide each side by '-27'. x = 1.333333333 Simplifying x = 1.333333333
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