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Simplifying 2x + 4y + 6z = 0 Solving 2x + 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. 2x + 4y + -4y + 6z = 0 + -4y Combine like terms: 4y + -4y = 0 2x + 0 + 6z = 0 + -4y 2x + 6z = 0 + -4y Remove the zero: 2x + 6z = -4y Add '-6z' to each side of the equation. 2x + 6z + -6z = -4y + -6z Combine like terms: 6z + -6z = 0 2x + 0 = -4y + -6z 2x = -4y + -6z Divide each side by '2'. x = -2y + -3z Simplifying x = -2y + -3z
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