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Simplifying -4x + 9z = 9z + 6 + -3z Reorder the terms: -4x + 9z = 6 + 9z + -3z Combine like terms: 9z + -3z = 6z -4x + 9z = 6 + 6z Solving -4x + 9z = 6 + 6z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9z' to each side of the equation. -4x + 9z + -9z = 6 + 6z + -9z Combine like terms: 9z + -9z = 0 -4x + 0 = 6 + 6z + -9z -4x = 6 + 6z + -9z Combine like terms: 6z + -9z = -3z -4x = 6 + -3z Divide each side by '-4'. x = -1.5 + 0.75z Simplifying x = -1.5 + 0.75z
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