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Simplifying 45x + 15y + 60z = 0 Solving 45x + 15y + 60z = 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. 45x + 15y + -15y + 60z = 0 + -15y Combine like terms: 15y + -15y = 0 45x + 0 + 60z = 0 + -15y 45x + 60z = 0 + -15y Remove the zero: 45x + 60z = -15y Add '-60z' to each side of the equation. 45x + 60z + -60z = -15y + -60z Combine like terms: 60z + -60z = 0 45x + 0 = -15y + -60z 45x = -15y + -60z Divide each side by '45'. x = -0.3333333333y + -1.333333333z Simplifying x = -0.3333333333y + -1.333333333z
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