If your properties are simple data access, use automatic properties:
public int Foo { get; set; }
The compiler will create a private member variable behind the scenes on your behalf.
In particular, for your question do not invest too much in tools such as ReSharper or StyleCop. Some of the ways code is formatted and what they complain about are really a matter of preference. I do not put member variables next to their public properties, but I see how convenient it is.
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