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Simplifying 2(6x + 3) = 3(2x + 12) Reorder the terms: 2(3 + 6x) = 3(2x + 12) (3 * 2 + 6x * 2) = 3(2x + 12) (6 + 12x) = 3(2x + 12) Reorder the terms: 6 + 12x = 3(12 + 2x) 6 + 12x = (12 * 3 + 2x * 3) 6 + 12x = (36 + 6x) Solving 6 + 12x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 12x + -6x = 36 + 6x + -6x Combine like terms: 12x + -6x = 6x 6 + 6x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 6x = 36 + 0 6 + 6x = 36 Add '-6' to each side of the equation. 6 + -6 + 6x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = 36 + -6 6x = 36 + -6 Combine like terms: 36 + -6 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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