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Simplifying 12(2x + 3) = 9(11x + 4) Reorder the terms: 12(3 + 2x) = 9(11x + 4) (3 * 12 + 2x * 12) = 9(11x + 4) (36 + 24x) = 9(11x + 4) Reorder the terms: 36 + 24x = 9(4 + 11x) 36 + 24x = (4 * 9 + 11x * 9) 36 + 24x = (36 + 99x) Add '-36' to each side of the equation. 36 + -36 + 24x = 36 + -36 + 99x Combine like terms: 36 + -36 = 0 0 + 24x = 36 + -36 + 99x 24x = 36 + -36 + 99x Combine like terms: 36 + -36 = 0 24x = 0 + 99x 24x = 99x Solving 24x = 99x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-99x' to each side of the equation. 24x + -99x = 99x + -99x Combine like terms: 24x + -99x = -75x -75x = 99x + -99x Combine like terms: 99x + -99x = 0 -75x = 0 Divide each side by '-75'. x = 0 Simplifying x = 0
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