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Simplifying 9(x + -13z) = 54x + 42z (x * 9 + -13z * 9) = 54x + 42z (9x + -117z) = 54x + 42z Solving 9x + -117z = 54x + 42z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 9x + -54x + -117z = 54x + -54x + 42z Combine like terms: 9x + -54x = -45x -45x + -117z = 54x + -54x + 42z Combine like terms: 54x + -54x = 0 -45x + -117z = 0 + 42z -45x + -117z = 42z Add '117z' to each side of the equation. -45x + -117z + 117z = 42z + 117z Combine like terms: -117z + 117z = 0 -45x + 0 = 42z + 117z -45x = 42z + 117z Combine like terms: 42z + 117z = 159z -45x = 159z Divide each side by '-45'. x = -3.533333333z Simplifying x = -3.533333333z
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