Walking represents living, and usually means living according to the true things taught to us by the Lord -- to "walk in His ways." When the Lord is pictured walking, it means life itself.

4499. 'Each took his sword' means falsity and evil. This is clear from the meaning of 'a sword' as truth engaged in conflict and consequently the defence of truth, and in the contrary sense falsity engaged in conflict, and consequently the vastation of truth, dealt with in 2799. The reason why 'a sword' at this point also means evil is that Levi was implicated, who represented charity, and so good. When good is turned into evil it uses falsity from evil to fight with, in which case anything it does is evil.