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Simplifying -7(x + 9) = 9(k + -5) + -14x Reorder the terms: -7(9 + x) = 9(k + -5) + -14x (9 * -7 + x * -7) = 9(k + -5) + -14x (-63 + -7x) = 9(k + -5) + -14x Reorder the terms: -63 + -7x = 9(-5 + k) + -14x -63 + -7x = (-5 * 9 + k * 9) + -14x -63 + -7x = (-45 + 9k) + -14x Solving -63 + -7x = -45 + 9k + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -63 + -7x + 14x = -45 + 9k + -14x + 14x Combine like terms: -7x + 14x = 7x -63 + 7x = -45 + 9k + -14x + 14x Combine like terms: -14x + 14x = 0 -63 + 7x = -45 + 9k + 0 -63 + 7x = -45 + 9k Add '63' to each side of the equation. -63 + 63 + 7x = -45 + 63 + 9k Combine like terms: -63 + 63 = 0 0 + 7x = -45 + 63 + 9k 7x = -45 + 63 + 9k Combine like terms: -45 + 63 = 18 7x = 18 + 9k Divide each side by '7'. x = 2.571428571 + 1.285714286k Simplifying x = 2.571428571 + 1.285714286k
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