x86 = 32 bit
x64 = 64 bit
You really need to provide as much info as possible concerning the history of the problem (new software, drivers, what you were doing prior to it occurring, etc...).
From the limited info you've provided it seems like the browser you usually connect to the Internet is not working along with Windows Live. Yet IE64 is connecting to the net.
That means its not a hardware or connectivity issue. Thus its a software issue. Going back to my previous point, you need to provide more info.
Since its somewhat hard getting the history of the problem from you and since you seem inexperienced in these matters I would just recommend a system restore. Its a bit heavy handed but since it is a software issue its likely to work.
If it doesn't work you might have a virus/malware messing with your system. And that opens up a new can of worms.
If you don't know how to do a system restore just google 'Win 7 system restore instructions' and you should find a guide to walk you through the steps.