The term 'FIXES DEEPLY' can be described by two crossword solutions: IMBEDS (6 letters) and INGRAINS (8 letters). Both words refer to the act of making something a permanent part of something else. IMBEDS is defined as to firmly fix or set in a surrounding mass, while INGRAINS is defined as to impress deeply or firmly on the mind or memory. Both words are used to describe the act of making something a permanent part of something else, such as embedding a stone into a wall or ingraining a lesson into a student's memory.