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Basically, you've got it right.




Actually, "учить" or "изучать" are imperfective verbs (they consider an action in its process). More or less, they can roughly be thought as equivalents of...

We were answering simultaneously :) So, you've got a double proof, Ulamah!

You asked to correct the whole text. So, my corrections of the whole text are below.
I also capitalized first letters of each sentence, and corrected some punctuation.

Ты изучаешь китайский, а я...