Rewrite each original sentence in order to make it easier to understand by non-native speakers of English. You can do so by replacing complex words with simpler synonyms (i.e. paraphrasing), deleting unimportant information (i.e. compression), and/or splitting a long complex sentence into several simpler ones. The final simplified sentences need to be grammatical, fluent, and retain the main ideas of their original counterparts without altering their meanings.

The town of Carluke (Gaelic: Cathair MoLuaig) lies in the heart of the Lanarkshire countryside in South Lanarkshire, Scotland, 5.4 miles northwest of Lanark and 5 miles South-East of Wishaw.
The town of Carluke is in the heart of the Lanarkshire countryside. It is in South Lanarkshire, Scotland. It is 5.4 miles northwest of Lanark and 5 miles South-East of Wishaw. The Gaelic name is Cathair MoLuaig.