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