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Simplifying 4(3x + 6) = 5(9x + 12) Reorder the terms: 4(6 + 3x) = 5(9x + 12) (6 * 4 + 3x * 4) = 5(9x + 12) (24 + 12x) = 5(9x + 12) Reorder the terms: 24 + 12x = 5(12 + 9x) 24 + 12x = (12 * 5 + 9x * 5) 24 + 12x = (60 + 45x) Solving 24 + 12x = 60 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 24 + 12x + -45x = 60 + 45x + -45x Combine like terms: 12x + -45x = -33x 24 + -33x = 60 + 45x + -45x Combine like terms: 45x + -45x = 0 24 + -33x = 60 + 0 24 + -33x = 60 Add '-24' to each side of the equation. 24 + -24 + -33x = 60 + -24 Combine like terms: 24 + -24 = 0 0 + -33x = 60 + -24 -33x = 60 + -24 Combine like terms: 60 + -24 = 36 -33x = 36 Divide each side by '-33'. x = -1.090909091 Simplifying x = -1.090909091
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