Alleviate, appease (7)
I believe the answer is:
assuage
I believe this clue is a double definition.
'alleviate' is the first definition.
(synonyms)
'appease' is the second definition.
(synonyms)
(Other definitions for assuage that I've seen before include "moderate" , "'Alleviate, appease (7)'" , "Allay, alleviate" , "Soothe, make less severe" , "Satisfy (an appetite)" .)