bluff (one's) way out of (something)

Translations
выкрутиться из (чего-то) обманом
She managed to bluff her way out of the difficult situation.
Ей удалось выкрутиться из сложной ситуации обманом.
Definitions
To escape a difficult situation by using deception or pretense, often by pretending to have more knowledge or confidence than one actually possesses.