Eclipse ADT: Java was started but returned exit code=13

Question

Could someone one clarify why my Eclipse (http://developer.android.com/sdk/index.html) from ADT won't start?

Every time I'm getting this error:

---------------------------
Eclipse
---------------------------
Java was started but returned exit code=13
C:\Program Files (x86)\Java\jre7\bin\javaw.exe
-Dosgi.requiredJavaVersion=1.6
-Xms40m
-Xmx768m
-Declipse.buildId=v22.0.5-757759
-XX:MaxPermSize=256m
-jar C:\Users\Alexey\Desktop\tmp\adt-bundle-windows-x86_64-20130729\adt-bundle-windows-x86_64-20130729\eclipse\\plugins/org.eclipse.equinox.launcher_1.3.0.v20120522-1813.jar
-os win32
-ws win32
-arch x86_64
-showsplash
-launcher C:\Users\Alexey\Desktop\tmp\adt-bundle-windows-x86_64-20130729\adt-bundle-windows-x86_64-20130729\eclipse\eclipse.exe
-name Eclipse
--launcher.library C:\Users\Alexey\Desktop\tmp\adt-bundle-windows-x86_64-20130729\adt-bundle-windows-x86_64-20130729\eclipse\\plugins/org.eclipse.equinox.launcher.win32.win32.x86_64_1.1.200.v20120913-144807\eclipse_1503.dll
-startup C:\Users\Alexey\Desktop\tmp\adt-bundle-windows-x86_64-20130729\adt-bundle-windows-x86_64-20130729\eclipse\\plugins/org.eclipse.equinox.launcher_1.3.0.v20120522-1813.jar
--launcher.overrideVmargs
-exitdata bec_34
-product com.android.ide.eclipse.adt.package.product
-vm C:\Program Files (x86)\Java\jre7\bin\javaw.exe
-vmargs
-Dosgi.requiredJavaVersion=1.6
-Xms40m
-Xmx768m
-Declipse.buildId=v22.0.5-757759
-XX:MaxPermSize=256m
-jar C:\Users\Alexey\Desktop\tmp\adt-bundle-windows-x86_64-20130729\adt-bundle-windows-x86_64-20130729\eclipse\\plugins/org.eclipse.equinox.launcher_1.3.0.v20120522-1813.jar 
---------------------------
OK   
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Answer 1

Error occurs when IDE(eclipse) bit-version (i.e. 32 or 64 bit) and jre bit-version mismatch! I have downloaded the 64 bit version and it showed me the exact error. But 32-bit version worked really fine. JRE version (1.6 or 1.7) doesn't matter. I think you dont need to downgrade. Because in my case, I had Java Version 1.7.0_45, whereas SDK requires 1.6, but it still worked perfectly fine!