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Simplifying 30x + 15y + -5z = 0 Solving 30x + 15y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15y' to each side of the equation. 30x + 15y + -15y + -5z = 0 + -15y Combine like terms: 15y + -15y = 0 30x + 0 + -5z = 0 + -15y 30x + -5z = 0 + -15y Remove the zero: 30x + -5z = -15y Add '5z' to each side of the equation. 30x + -5z + 5z = -15y + 5z Combine like terms: -5z + 5z = 0 30x + 0 = -15y + 5z 30x = -15y + 5z Divide each side by '30'. x = -0.5y + 0.1666666667z Simplifying x = -0.5y + 0.1666666667z
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