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Simplifying 4x + 5(7x + -3) = 9(3k + -9) Reorder the terms: 4x + 5(-3 + 7x) = 9(3k + -9) 4x + (-3 * 5 + 7x * 5) = 9(3k + -9) 4x + (-15 + 35x) = 9(3k + -9) Reorder the terms: -15 + 4x + 35x = 9(3k + -9) Combine like terms: 4x + 35x = 39x -15 + 39x = 9(3k + -9) Reorder the terms: -15 + 39x = 9(-9 + 3k) -15 + 39x = (-9 * 9 + 3k * 9) -15 + 39x = (-81 + 27k) Solving -15 + 39x = -81 + 27k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 39x = -81 + 15 + 27k Combine like terms: -15 + 15 = 0 0 + 39x = -81 + 15 + 27k 39x = -81 + 15 + 27k Combine like terms: -81 + 15 = -66 39x = -66 + 27k Divide each side by '39'. x = -1.692307692 + 0.6923076923k Simplifying x = -1.692307692 + 0.6923076923k
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