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Simplifying 3x + 5y + 10z = 0 Solving 3x + 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. 3x + 5y + -5y + 10z = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + 10z = 0 + -5y 3x + 10z = 0 + -5y Remove the zero: 3x + 10z = -5y Add '-10z' to each side of the equation. 3x + 10z + -10z = -5y + -10z Combine like terms: 10z + -10z = 0 3x + 0 = -5y + -10z 3x = -5y + -10z Divide each side by '3'. x = -1.666666667y + -3.333333333z Simplifying x = -1.666666667y + -3.333333333z
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