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Simplifying 200x + 80y + -120z = 0 Solving 200x + 80y + -120z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80y' to each side of the equation. 200x + 80y + -80y + -120z = 0 + -80y Combine like terms: 80y + -80y = 0 200x + 0 + -120z = 0 + -80y 200x + -120z = 0 + -80y Remove the zero: 200x + -120z = -80y Add '120z' to each side of the equation. 200x + -120z + 120z = -80y + 120z Combine like terms: -120z + 120z = 0 200x + 0 = -80y + 120z 200x = -80y + 120z Divide each side by '200'. x = -0.4y + 0.6z Simplifying x = -0.4y + 0.6z
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