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Simplifying 3(12x + 8) = 9(2x + 5) Reorder the terms: 3(8 + 12x) = 9(2x + 5) (8 * 3 + 12x * 3) = 9(2x + 5) (24 + 36x) = 9(2x + 5) Reorder the terms: 24 + 36x = 9(5 + 2x) 24 + 36x = (5 * 9 + 2x * 9) 24 + 36x = (45 + 18x) Solving 24 + 36x = 45 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 24 + 36x + -18x = 45 + 18x + -18x Combine like terms: 36x + -18x = 18x 24 + 18x = 45 + 18x + -18x Combine like terms: 18x + -18x = 0 24 + 18x = 45 + 0 24 + 18x = 45 Add '-24' to each side of the equation. 24 + -24 + 18x = 45 + -24 Combine like terms: 24 + -24 = 0 0 + 18x = 45 + -24 18x = 45 + -24 Combine like terms: 45 + -24 = 21 18x = 21 Divide each side by '18'. x = 1.166666667 Simplifying x = 1.166666667
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