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Simplifying 12(2 + -1x) = 13(3 + -1x) (2 * 12 + -1x * 12) = 13(3 + -1x) (24 + -12x) = 13(3 + -1x) 24 + -12x = (3 * 13 + -1x * 13) 24 + -12x = (39 + -13x) Solving 24 + -12x = 39 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 24 + -12x + 13x = 39 + -13x + 13x Combine like terms: -12x + 13x = 1x 24 + 1x = 39 + -13x + 13x Combine like terms: -13x + 13x = 0 24 + 1x = 39 + 0 24 + 1x = 39 Add '-24' to each side of the equation. 24 + -24 + 1x = 39 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 39 + -24 1x = 39 + -24 Combine like terms: 39 + -24 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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