Maybe I misspoke, but are the Motorola Droid X and Moto X the same phone? If they are you may be mistaken per my experience (I cannot uninstall Swype, so I assume it was pre-installed) and per the wiki
On June 16, 2010, Swype opened a public beta for the Android operating system.[20] The Samsung Galaxy S, Samsung Galaxy S II, Samsung Galaxy Note, Motorola Droid X, Motorola i1, and Motorola Droid 2 Android-based smartphones come with Swype pre-installed.
I think you did misspeak. The Motorola Droid X is a phone that came out in 2010. The Motorola Moto X is a phone that came out in 2013. There is no such phone as the "Droid Moto X."
On June 16, 2010, Swype opened a public beta for the Android operating system.[20] The Samsung Galaxy S, Samsung Galaxy S II, Samsung Galaxy Note, Motorola Droid X, Motorola i1, and Motorola Droid 2 Android-based smartphones come with Swype pre-installed.
http://en.wikipedia.org/wiki/Swype