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Simplifying 5x + -5y + 10z = 0 Solving 5x + -5y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 5x + -5y + 5y + 10z = 0 + 5y Combine like terms: -5y + 5y = 0 5x + 0 + 10z = 0 + 5y 5x + 10z = 0 + 5y Remove the zero: 5x + 10z = 5y Add '-10z' to each side of the equation. 5x + 10z + -10z = 5y + -10z Combine like terms: 10z + -10z = 0 5x + 0 = 5y + -10z 5x = 5y + -10z Divide each side by '5'. x = y + -2z Simplifying x = y + -2z
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