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Simplifying 12x + 5y + z = 0 Solving 12x + 5y + z = 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. 12x + 5y + -5y + z = 0 + -5y Combine like terms: 5y + -5y = 0 12x + 0 + z = 0 + -5y 12x + z = 0 + -5y Remove the zero: 12x + z = -5y Add '-1z' to each side of the equation. 12x + z + -1z = -5y + -1z Combine like terms: z + -1z = 0 12x + 0 = -5y + -1z 12x = -5y + -1z Divide each side by '12'. x = -0.4166666667y + -0.08333333333z Simplifying x = -0.4166666667y + -0.08333333333z
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