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Simplifying 12(x + 3) = 9(k + -5) + -14k Reorder the terms: 12(3 + x) = 9(k + -5) + -14k (3 * 12 + x * 12) = 9(k + -5) + -14k (36 + 12x) = 9(k + -5) + -14k Reorder the terms: 36 + 12x = 9(-5 + k) + -14k 36 + 12x = (-5 * 9 + k * 9) + -14k 36 + 12x = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k 36 + 12x = -45 + -5k Solving 36 + 12x = -45 + -5k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12x = -45 + -36 + -5k Combine like terms: 36 + -36 = 0 0 + 12x = -45 + -36 + -5k 12x = -45 + -36 + -5k Combine like terms: -45 + -36 = -81 12x = -81 + -5k Divide each side by '12'. x = -6.75 + -0.4166666667k Simplifying x = -6.75 + -0.4166666667k
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