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Simplifying 12(2x + 6) = 6(2x + 16) Reorder the terms: 12(6 + 2x) = 6(2x + 16) (6 * 12 + 2x * 12) = 6(2x + 16) (72 + 24x) = 6(2x + 16) Reorder the terms: 72 + 24x = 6(16 + 2x) 72 + 24x = (16 * 6 + 2x * 6) 72 + 24x = (96 + 12x) Solving 72 + 24x = 96 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 72 + 24x + -12x = 96 + 12x + -12x Combine like terms: 24x + -12x = 12x 72 + 12x = 96 + 12x + -12x Combine like terms: 12x + -12x = 0 72 + 12x = 96 + 0 72 + 12x = 96 Add '-72' to each side of the equation. 72 + -72 + 12x = 96 + -72 Combine like terms: 72 + -72 = 0 0 + 12x = 96 + -72 12x = 96 + -72 Combine like terms: 96 + -72 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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