Hi vs3n,
I believe this fixed the issue for me, although I have other unrelated crashes.
The problem is that every time you run a direct x or visual studio redistributable for any other game it will break the dependencies in the dynamic link library (.dll) used for BF4.
Since you have a 64 Bit system, you are better off running the 64 Bit version of the game. From your crash report, you are running the 32 bit version (x86).
Make sure you have the x64 version selected in Origin Launch options.
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Run the vcredist_x64 ("C:\Program Files (x86)\Origin Games\Battlefield 4\__Installer\vc\vc2012Update3\redist") before you launch the 64 bit version of the game. Do this every time before you play the game and you shouldn't have a problem.
Scratch that - there is a newer version to download: http://www.microsoft.com/en-au/download/details.aspx?id=30679