Ive just found the start of it really slow. Practise jumping. Right now go here, ok now go there... and the only weapons i have so far are metal poles of one kind or another and my guy can only swing them like 3 times before he gets tired and has to back off.
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Enjoy it while you can. Once you get a few guns the game becomes far too easy. Level up a bit and it will be better with the melee weapons. But the guns kind of change the whole game.