ScoreAddict wrote:Besides, even with a multi-voltage 2000mA-power supply (with adapter) there's no difference.

I've yet to see a quality "universal" power adapter. My suggestion is to find a quality power adapter with the required specs. Those multi-voltage adapters are nice to keep around for testing things in a pinch, but they shouldn't be used full time IMO. With anything, I always recommend trying to find a good brand name power supply.
There's plenty of examples of using a cheap off-brand power supply, that has the required specs, but still causes problems. Well known examples would be the model 1 Genesis. Everything will WORK, but the audio will be heavily distorted. Or the Famicom, again, everything will work, but you'll get jailbars (or more prominent jailbars).
The problem most people face with trying to find a decent adapter is finding one with the correct specs AND tip/plug size with the correct polarity. If you know how to solder, my trick is to just ignore the tip and find a quality adapter with the correct specs (usually easy to do, just search eBay and local thrift stores). Once you find it, if it doesn't have the correct tip size and/or polarity then just cut it off and solder a new one on.
If the CDX has the same tip/plug that the model 2 Genesis uses, this is the replacement:
http://www.digikey.com/product-detail/e ... -ND/408476
Don't quote me on that, I'd have to double check when I get home (there's a few different size EIAJ plugs). But IIRC, that's it. A few years ago, I was able to pick them up in Radio Shack.