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Simplifying 9(2x + 5) = 12(5 + x) Reorder the terms: 9(5 + 2x) = 12(5 + x) (5 * 9 + 2x * 9) = 12(5 + x) (45 + 18x) = 12(5 + x) 45 + 18x = (5 * 12 + x * 12) 45 + 18x = (60 + 12x) Solving 45 + 18x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 45 + 18x + -12x = 60 + 12x + -12x Combine like terms: 18x + -12x = 6x 45 + 6x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 45 + 6x = 60 + 0 45 + 6x = 60 Add '-45' to each side of the equation. 45 + -45 + 6x = 60 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 60 + -45 6x = 60 + -45 Combine like terms: 60 + -45 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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