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Simplifying 9(12x + 9) = 15(x + 18) Reorder the terms: 9(9 + 12x) = 15(x + 18) (9 * 9 + 12x * 9) = 15(x + 18) (81 + 108x) = 15(x + 18) Reorder the terms: 81 + 108x = 15(18 + x) 81 + 108x = (18 * 15 + x * 15) 81 + 108x = (270 + 15x) Solving 81 + 108x = 270 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 81 + 108x + -15x = 270 + 15x + -15x Combine like terms: 108x + -15x = 93x 81 + 93x = 270 + 15x + -15x Combine like terms: 15x + -15x = 0 81 + 93x = 270 + 0 81 + 93x = 270 Add '-81' to each side of the equation. 81 + -81 + 93x = 270 + -81 Combine like terms: 81 + -81 = 0 0 + 93x = 270 + -81 93x = 270 + -81 Combine like terms: 270 + -81 = 189 93x = 189 Divide each side by '93'. x = 2.032258065 Simplifying x = 2.032258065
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