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Simplifying 9(20x + 9) = 8(12x + 8) Reorder the terms: 9(9 + 20x) = 8(12x + 8) (9 * 9 + 20x * 9) = 8(12x + 8) (81 + 180x) = 8(12x + 8) Reorder the terms: 81 + 180x = 8(8 + 12x) 81 + 180x = (8 * 8 + 12x * 8) 81 + 180x = (64 + 96x) Solving 81 + 180x = 64 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. 81 + 180x + -96x = 64 + 96x + -96x Combine like terms: 180x + -96x = 84x 81 + 84x = 64 + 96x + -96x Combine like terms: 96x + -96x = 0 81 + 84x = 64 + 0 81 + 84x = 64 Add '-81' to each side of the equation. 81 + -81 + 84x = 64 + -81 Combine like terms: 81 + -81 = 0 0 + 84x = 64 + -81 84x = 64 + -81 Combine like terms: 64 + -81 = -17 84x = -17 Divide each side by '84'. x = -0.2023809524 Simplifying x = -0.2023809524
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