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If you use Visual Studio 2013 together with Visual Studio 2012 or Visual Studio 2010 SP1, you can create and modify projects and files in any of the three versions. You can transfer projects and files among the versions as long as you don't add features that are not supported by one of the versions.
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Another question is can vs_2013_x_86 be installed in x_64 machine? I think it should not create any problem.
All version of VS is x86 application and can be installed on both x86 and x64 OS.