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Simplifying 11(2x + 3) = 5(4x + 9) Reorder the terms: 11(3 + 2x) = 5(4x + 9) (3 * 11 + 2x * 11) = 5(4x + 9) (33 + 22x) = 5(4x + 9) Reorder the terms: 33 + 22x = 5(9 + 4x) 33 + 22x = (9 * 5 + 4x * 5) 33 + 22x = (45 + 20x) Solving 33 + 22x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 33 + 22x + -20x = 45 + 20x + -20x Combine like terms: 22x + -20x = 2x 33 + 2x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 33 + 2x = 45 + 0 33 + 2x = 45 Add '-33' to each side of the equation. 33 + -33 + 2x = 45 + -33 Combine like terms: 33 + -33 = 0 0 + 2x = 45 + -33 2x = 45 + -33 Combine like terms: 45 + -33 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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