Could you tell me if there is a difference between the phrase take the time to do something and take the time out to do something? In the 20th episode of the 9th season of Friends, they used take the time out to do something. Here it is:
Charlie: It's a... It's good to meet you! Thank you so much for taking the time out to show me around.
Ross: Oh, no, it's no big deal, I mean, if I weren't doing this I'd just, you know, be at the gym working out.
How the meaning would change if Charlie omitted the out?