Learn French: J'enlève ma veste dans le salon. - I am taking off my jacket in the living room.

This is a stem-changing verb, also known as a "boot verb." In French, you usually do not have a silent 'e' in the syllable right after an unaccented 'e'. Since the je form ends in a silent -e, the middle 'e' changes to è so it can be pronounced with an "eh" sound. You will see this same change for the tu, il/elle, and ils/elles forms.

Is enlever only used for taking off clothes?

No, enlever generally means "to remove" or "to take away." When talking about clothing, it translates naturally to "taking off." If you want to say the opposite (to put on), you would use the verb mettre.

Why is it ma veste and not mon veste if a man is speaking?

In French, possessive words like ma (my) match the gender of the object being owned, not the person who owns it. Since veste is a feminine noun, you must always use ma, regardless of whether the speaker is a man or a woman.

Why do we use dans le salon instead of au salon?