Quote Originally Posted by 14Russian View Post
You could also state that beginning the sentence with 'I' again so soon is unnecessary. The pronoun 'I' was already introduced. Explaining it in terms of flow is okay, though.

Simply changing the sentence into one by adding or introducing a grammatical conjunction, and, delivers a more concise sentence that achieves this flow. Efficiency!

"I sat at my desk and played a game."
Just in the use of this one passage it becomes apparent how many correct versions there may be for composition. But then there is the introduction of style, which I think coincides with fluency. That efficiency you describe is a hallmark, I think.