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Simplifying 75x + 15y + 30z = 0 Solving 75x + 15y + 30z = 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. 75x + 15y + -15y + 30z = 0 + -15y Combine like terms: 15y + -15y = 0 75x + 0 + 30z = 0 + -15y 75x + 30z = 0 + -15y Remove the zero: 75x + 30z = -15y Add '-30z' to each side of the equation. 75x + 30z + -30z = -15y + -30z Combine like terms: 30z + -30z = 0 75x + 0 = -15y + -30z 75x = -15y + -30z Divide each side by '75'. x = -0.2y + -0.4z Simplifying x = -0.2y + -0.4z
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