A DWT file is an AutoCAD drawing template file that is used as a starter for creating drawings that can be saved as DWG files. Such template files provide initial settings such as unit types, the precision required, title blocks, layer names, line types, and other similar information for lateral conversion to proper drawing files. Both AutoCAD and CoreCAD can be used to read the template files and utilize them further.
Docx is well-known format for Microsoft Word documents. Introduced from 2007 with the release of Microsoft Office 2007, the structure of this new Document format was changed from plain binary to a combination of XML and binary files. Docx files can be opened with Word 2007 and lateral versions but not with the earlier versions of MS Word which support DOC file extensions.
You can also convert DWT into many other file formats. Please see the complete list below.