Basic Skills of Hex Mines

You need to master two basic skills:

1) Find out the only possible positions of the mines from a certain number:

For the following case:



Only one covered tile is adjacent to the circled tile, and therefore that covered tile must contain a mine:




2) When all mines from a certain number are found, clear all remaining tiles:

For the following case:



You have already found the mine for the circled tile, and therefore all remaining tiles must be safe:

This is exactly the method I have used to master the game in 55.882 seconds. Thank you @Novel Games for the basic skills!