Hi! I would like your opinion on which GNU/Linux distro I should choose that meets these requirements:
*binary and/or source based(but I prefer binary)
*Good documentation
*supports new hardware(specifically integrated graphics and recent Realteck wifi chipset)
*allows closed source software to be used(closed source software doesn't have to be included out of the box, just available)
*allows me to learn more about GNU/Linux (I consider myself to be intermediate experienced and I am not a completely new GNU/Linux user that has trouble using a distro other than Ubuntu Linux)Also, I am not afraid of the CLI(command line interface).
Thank You all, and have a NICE DAY!

Distrowatch lists 263 active distributions today, at least 200 meet your criteria.

Can you provide any cause uses, interests, preferences, or restrictions that might help us refine that down a little?

There is Fedora that fits.

It's kernel is updated frequently so would support new hardware.

Many closed source software provide packages for Fedora. Though these days I think Ubuntu support is more.

1 members found this post helpful.

let's see
the top major distros
OpenSUSE 13.2
Fedora 21
Debian 8
Mint 17

At least Fedora and CentOS are well documented.
Mint is not, but Ubuntu documentation usually applies.
Also *buntus don't support all HW features too well, like laptop-mode-tools.
(Not updated by Canonical, and replacement seems to be hard to find.
Commercially less significant features are often left to low priority.)

In general
and
tend to be mutually exclusive The latter often indicates some kind of
philosophical purity that is against the former, and the former tends to indicate philosophy of user orientation, and thus tendency to hide technical stuff from the user.

AntiX, Debian based, lightweight distro, live/installable/frugal.
http://antix.mepis.com/index.php?title=Main_Page

Thank You all!! I have decided to go with Fedora.

You BETTER bet 4 menta...