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Simplifying 5x + 10y + 30z = 0 Solving 5x + 10y + 30z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 5x + 10y + -10y + 30z = 0 + -10y Combine like terms: 10y + -10y = 0 5x + 0 + 30z = 0 + -10y 5x + 30z = 0 + -10y Remove the zero: 5x + 30z = -10y Add '-30z' to each side of the equation. 5x + 30z + -30z = -10y + -30z Combine like terms: 30z + -30z = 0 5x + 0 = -10y + -30z 5x = -10y + -30z Divide each side by '5'. x = -2y + -6z Simplifying x = -2y + -6z
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