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