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Simplifying 14(2 + -1x) = 13(3 + -1x) (2 * 14 + -1x * 14) = 13(3 + -1x) (28 + -14x) = 13(3 + -1x) 28 + -14x = (3 * 13 + -1x * 13) 28 + -14x = (39 + -13x) Solving 28 + -14x = 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. 28 + -14x + 13x = 39 + -13x + 13x Combine like terms: -14x + 13x = -1x 28 + -1x = 39 + -13x + 13x Combine like terms: -13x + 13x = 0 28 + -1x = 39 + 0 28 + -1x = 39 Add '-28' to each side of the equation. 28 + -28 + -1x = 39 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 39 + -28 -1x = 39 + -28 Combine like terms: 39 + -28 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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