I have read about all these free CAD programs but, as an old guy who just wants simple 2D drawings, which free program is absolutely the easiest to learn??
This will sound like a snarky answer, but it really isn't meant that way. Why CAD at all? If you stick with 2D and are not going to feed a drawing file into a CAM program for CNC do you need to edit and modify a drawing over time and keep it up to date? Or are you going to print it out, go into the shop and make the part, maybe leaving a bit for refining the fit or taking a bit more based on offering the part up for fit and never go back and update the drawing? If this describes how you work and are happy with it, old school mechanical drawing tools and methods may well be the easiest and odds are you already know the how and have most or all of the tools.
If you really want 2D CAD, will a drawing program that supports dimensioning be sufficient or do you need more? LibreCAD and LibreDraw are both very good and free, Inkscape has drawing tools that work well and has a bit less of the thousand tools all over the place feel of the AutoCAD replicas. Seems there's QCad and a few other free 2D drafting like packages around. I use the basic 2D drawing tools incorporated in Vectric products for quick and dirty stuff. Combined with Gearotic for antique gear forms these two tools were my go to methods for generating clock parts using CNC for years. Neither one is free, but the point is (ignoring gearotic as a special case) that basic drawing tools can be very productive with minimal investment in learning how to use them. My use of Vectric products wasn't really driven by the drawing tools, nice though they are, it was driven by the decent CAM package incorporated in them as I ran linuxCNC, Mach 3 and 4, and gRbl stuff and the Vectric post processors nicely supported all.
If you search youtube for "Inkscape CAD" you will get quite a few hits on using a very good package originally designed for illustration as a technical drawing tool. My gut feel is that this the best free and open 2D option for many folks needs. If you need CAM Inkscape can incorporate makerCAM. Can't vouch for MakerCAM as I have not used it, but it's free and has a decent following
I won't lie to you, 3D is very powerful, can be a pain to learn, but opens up opportunities like 3D printing, 3D routing and milling, and other nifty things that if you only have a DXF you can't benefit from. If it doesn't matter to you that's fine too, just worth contemplating as you decide if indeed a simple 2D approach is all you need in the toolbox. I use 2D for quick and dirty, and don't feel like I'm missing out. Can always import the 2D onto a plane in a 3D program and start extruding and punching it into a 3D blob of stuff if the urge strikes down the road.