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Simplifying 6(2x + 9) = 5(4x + 6) Reorder the terms: 6(9 + 2x) = 5(4x + 6) (9 * 6 + 2x * 6) = 5(4x + 6) (54 + 12x) = 5(4x + 6) Reorder the terms: 54 + 12x = 5(6 + 4x) 54 + 12x = (6 * 5 + 4x * 5) 54 + 12x = (30 + 20x) Solving 54 + 12x = 30 + 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. 54 + 12x + -20x = 30 + 20x + -20x Combine like terms: 12x + -20x = -8x 54 + -8x = 30 + 20x + -20x Combine like terms: 20x + -20x = 0 54 + -8x = 30 + 0 54 + -8x = 30 Add '-54' to each side of the equation. 54 + -54 + -8x = 30 + -54 Combine like terms: 54 + -54 = 0 0 + -8x = 30 + -54 -8x = 30 + -54 Combine like terms: 30 + -54 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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