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Simplifying -7(x + 9) = 9(k + -5) + -14k Reorder the terms: -7(9 + x) = 9(k + -5) + -14k (9 * -7 + x * -7) = 9(k + -5) + -14k (-63 + -7x) = 9(k + -5) + -14k Reorder the terms: -63 + -7x = 9(-5 + k) + -14k -63 + -7x = (-5 * 9 + k * 9) + -14k -63 + -7x = (-45 + 9k) + -14k Combine like terms: 9k + -14k = -5k -63 + -7x = -45 + -5k Solving -63 + -7x = -45 + -5k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -7x = -45 + 63 + -5k Combine like terms: -63 + 63 = 0 0 + -7x = -45 + 63 + -5k -7x = -45 + 63 + -5k Combine like terms: -45 + 63 = 18 -7x = 18 + -5k Divide each side by '-7'. x = -2.571428571 + 0.7142857143k Simplifying x = -2.571428571 + 0.7142857143k
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