"I live alone in different city from my family" Is this correct?

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I live alone in a different city from my family. “alone” would mean that you live without a roommate. If you only wanted to say that you don’t live with your family, you might say
I live away from my family in a different city. 
I don’t live with my family any more. I live in a different city now.
I don’t live with my family any more. I moved to a different city.
I live in a different city from my family.

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I live alone in a different city from my family.

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I live far away from my family

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I live alone, away from my family.They live in a different city.