Kindle DX Broken USB port

William Vincent the port is soldered to the motherboard. You will have to remove the mother board. Use something like this video to remove it. After that check the solder connection on the micro USB port. It is very likely that they have either come totally of the board, or that they have micro cracks. Next desolder your old connector and replace with a new connector which requires soldering again. . If you do not have the tools or the skills (yet) I suggest you find somebody online that has that experience. Soldering those connectors are a bit of a PITA. Ports are a bit hard to find so scour ebay.com, digikey.com or mouser.com and see if you can find a good match.