Best practice with classes question

Let's say I write a program with several classes so that I get something like this:

mainHeader.h, mainFunctions.cpp, main.cpp,
class1.h, class1.cpp,
class2.h, class2.cpp,
...

Is it an okay practice to stick structs, variables, and functions in mainHeader.h and main.cpp that will be used by the classes or should the classes be totally self-contained?
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