Anagram of a 7-Letter Word

These words can all have a letter added and then be rearranged to make a new 5-letter word, e.g. noun union NOUN + I = UNION.

The 7 added letters are an anagram of a 7-letter word. What is the 7-letter word, and what are the new words?

MAIL
EXIT
GOSH
CITY
NEWT
DENY
MINI

 

Answer:

Chemist.
MAIL + C = CLAIM
EXIT + S = EXIST
GOSH + T = GHOST
CITY + H = ITCHY
NEWT + I = TWINE
DENY + E = NEEDY
MINI + M = MINIM
And the letters CSTHIEM spell CHEMIST.