Just look at jim mcnamara. He mostly codes in C, and whenever he writes C++ code some C things sneak in in there. His C is excellent, but his C++ is bad from an OOP point of view. (no offense jim)

If you learn C first you'll get into habits you should not have for C++. It's better (and even easier) to learn C++ and OOP first.

And unlike C++, C is slowly starting to die.