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Simplifying 9(4x + 15) = 3(8x + 81) Reorder the terms: 9(15 + 4x) = 3(8x + 81) (15 * 9 + 4x * 9) = 3(8x + 81) (135 + 36x) = 3(8x + 81) Reorder the terms: 135 + 36x = 3(81 + 8x) 135 + 36x = (81 * 3 + 8x * 3) 135 + 36x = (243 + 24x) Solving 135 + 36x = 243 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 135 + 36x + -24x = 243 + 24x + -24x Combine like terms: 36x + -24x = 12x 135 + 12x = 243 + 24x + -24x Combine like terms: 24x + -24x = 0 135 + 12x = 243 + 0 135 + 12x = 243 Add '-135' to each side of the equation. 135 + -135 + 12x = 243 + -135 Combine like terms: 135 + -135 = 0 0 + 12x = 243 + -135 12x = 243 + -135 Combine like terms: 243 + -135 = 108 12x = 108 Divide each side by '12'. x = 9 Simplifying x = 9
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