Yes it has blue tooth. But I have my blue tooth shut off because I don't use Bluetooth with any of my stuff.
And I just ran that trick that strollin shared using the method of installing the 4 APK files from google from links provided in the instructions in the order as listed and success.
It stated there was a newer version below the green download and I told it to download the version that was at the green download link vs the confusing 4 options for a newer download below that.
After a reboot of my kindle fire 7, which I did just to bring it up booted clean after install of the software, I am now installing my favorite games from google play store which are free to play, and Pyramid Solitaire Saga by King is running flawless.
Thanks for that link strollin. I was so surprised that it didn't require rooting it to install the Google Play Store and Games. So Awesome!
The shorthand version of what you need to do is you need to go to settings and security and then enable Apps From Unknown Sources which will allow installation of applications that are not from the amazon app store. Then download in order those 4 APK files and install them in that order as listed. Then reboot kindle fire 7, and then go to Google Play Store and everything works.
*They claim it should work with all kindle fire devices including kindle fire 8.
Here is the game that for me is a must have for my android devices. It starts off easy and gets more challenging in higher levels.
https://play.google.com/store/apps/details?id=com.king.pyramidsolitairesaga