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Simplifying 30x + 50y + -10z = 0 Solving 30x + 50y + -10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. 30x + 50y + -50y + -10z = 0 + -50y Combine like terms: 50y + -50y = 0 30x + 0 + -10z = 0 + -50y 30x + -10z = 0 + -50y Remove the zero: 30x + -10z = -50y Add '10z' to each side of the equation. 30x + -10z + 10z = -50y + 10z Combine like terms: -10z + 10z = 0 30x + 0 = -50y + 10z 30x = -50y + 10z Divide each side by '30'. x = -1.666666667y + 0.3333333333z Simplifying x = -1.666666667y + 0.3333333333z
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