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Simplifying 12x + 4y + 6z = 0 Solving 12x + 4y + 6z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 12x + 4y + -4y + 6z = 0 + -4y Combine like terms: 4y + -4y = 0 12x + 0 + 6z = 0 + -4y 12x + 6z = 0 + -4y Remove the zero: 12x + 6z = -4y Add '-6z' to each side of the equation. 12x + 6z + -6z = -4y + -6z Combine like terms: 6z + -6z = 0 12x + 0 = -4y + -6z 12x = -4y + -6z Divide each side by '12'. x = -0.3333333333y + -0.5z Simplifying x = -0.3333333333y + -0.5z
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