Nobody from the government has ever put one word in my mouth or take a word out of it.

What are the meanings of "put one word in my mouth" and "take a word out of my mouth"?
To "put words into someone's mouth" is to speak on their behalf or to attribute attitudes or positions to them without their permission.

I don't think I've ever heard "take words out..." but presumably it means to deny what someone said without their permission.

In the context of your original sentence this doesn't make much sense but it just occurred to me that if someone says "you took the words out of my mouth" they mean you just said what they were about to to say.
Take the word(s) out of my mouth - you said the word(s) before I did.

You took the words right out of my mouth = I was about to say just that.

I don't want to put words into your mouth = I don't want to tell you what to say.

" And then you took the words right out of my mouth
Oh, it must have been while you were kissin' me
You took the words right out of my mouth
Oh and I swear it's true, I was just about to say-ay I love you (lo-ove you)"
Students: Are you brave enough to let our tutors analyse your pronunciation?
Thank you, RayH and Optilang. Thanks for the lyric Emotion: smile
Students: We have free audio pronunciation exercises.