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Simplifying 24(3x + 4) = 36(x + 5) Reorder the terms: 24(4 + 3x) = 36(x + 5) (4 * 24 + 3x * 24) = 36(x + 5) (96 + 72x) = 36(x + 5) Reorder the terms: 96 + 72x = 36(5 + x) 96 + 72x = (5 * 36 + x * 36) 96 + 72x = (180 + 36x) Solving 96 + 72x = 180 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 96 + 72x + -36x = 180 + 36x + -36x Combine like terms: 72x + -36x = 36x 96 + 36x = 180 + 36x + -36x Combine like terms: 36x + -36x = 0 96 + 36x = 180 + 0 96 + 36x = 180 Add '-96' to each side of the equation. 96 + -96 + 36x = 180 + -96 Combine like terms: 96 + -96 = 0 0 + 36x = 180 + -96 36x = 180 + -96 Combine like terms: 180 + -96 = 84 36x = 84 Divide each side by '36'. x = 2.333333333 Simplifying x = 2.333333333
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