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Simplifying 13(x + 2) = 12(x + 6) Reorder the terms: 13(2 + x) = 12(x + 6) (2 * 13 + x * 13) = 12(x + 6) (26 + 13x) = 12(x + 6) Reorder the terms: 26 + 13x = 12(6 + x) 26 + 13x = (6 * 12 + x * 12) 26 + 13x = (72 + 12x) Solving 26 + 13x = 72 + 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. 26 + 13x + -12x = 72 + 12x + -12x Combine like terms: 13x + -12x = 1x 26 + 1x = 72 + 12x + -12x Combine like terms: 12x + -12x = 0 26 + 1x = 72 + 0 26 + 1x = 72 Add '-26' to each side of the equation. 26 + -26 + 1x = 72 + -26 Combine like terms: 26 + -26 = 0 0 + 1x = 72 + -26 1x = 72 + -26 Combine like terms: 72 + -26 = 46 1x = 46 Divide each side by '1'. x = 46 Simplifying x = 46
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