Finally fixed the computer and it is now running a genuine copy of Windows 7. I’ll explain what I did in case anyone else has a similar issue in the future. I think this solution will work for anybody that wants to do a clean install of Windows 7 on a Dell computer who either doesn’t want to use the recovery partition that came with the computer or no longer has the recovery partition. As long as you have the product key that they stick on the bottom of the laptop, you can reinstall a valid copy of Windows 7 (and its 100% legal!!).
What I did was download the 64 bit Windows 7 Home Premium SP1 .iso file from Digitalrivercontent.net.
http://msft.digitalrivercontent.net/win/X17-58997.iso
Just make sure you download whatever version your computer originally came with (Home premium, Professional, Ultimate, 32 bit, 64 bit, etc.)
I then used Windows 7 USB DVD download tool to write the .iso file to a USB drive (must be at least 4 gigs)
http://images2.store.microsoft.com/prod/clustera/framework/w7udt/1.0/en-us/Windows7-USB-DVD-tool.exe
Save anything that you want from your computer on some external media since the next step is reinstalling windows. I would make sure to save the drivers so you don’t need to re-download those later. Plug the USB drive in a USB 2.0 port (not USB 3.0 or else it won’t be able to read it once the installation process begins later) and restart the computer. Press F2 immediately and change the boot sequence so that the USB drive is first (Google it for more detailed instructions if necessary). Press F10 to save the changes.
The computer will restart and boot the Windows installer from the USB. Follow the installation instructions and let Windows copy all of its files and stuff onto the drive. You should also have the option to format the drive and start from a clean slate so do that if you want. It will eventually get to a point where you will need to enter your product key. Type the number exactly as it’s written on the sticker (which in my case was located on the bottom of my laptop). Windows will finalize the installation and once it restarts a few more times, you should be on the familiar desktop screen.
Once everything is loaded, you will need to activate the copy of Windows. Click on the Start button, right click on Computer, and select properties. Scroll down and look where it says Windows Activation. It will probably say something to the effect of “You have 3 days to activate Windows”. Click on that and then click “Use the Automated Phone System”. Call the number and follow the robot’s automated instructions to authenticate your copy of Windows.
If it’s done right, it will say “Windows is Activated”. Then you can reload and install all of the drivers you saved from earlier to get your computer back to the way it was. One benefit of installing Windows without the recovery partition is that you won't have all of that bloatware that would otherwise be installed.
Hope this helps!