Simplifies the removal of some grease stains (5)

I believe the answer is:

eases

I'm a little stuck... Click here to teach me more about this clue!

'simplifies the removal' is the definition.
'eases' can be an answer for 'simplifies' (I've seen this in another clue). I'm unsure of the 'the removal' bit.

'some grease stains' is the wordplay.
'some' indicates a hidden word (some parts of the word are used).
'EASES' can be found hidden inside 'grease stains'.

'of' is the link.

Can you help me to learn more?

(Other definitions for eases that I've seen before include "Calms" , "Moderates" , "provides relief" , "Relieves, loosens" , "Alleviates, relieves" .)

I've seen this clue in the Evening Standard.

Want a hint initially instead of a full solution? Install my app