Problem / Question:

I designed a logo for a little project I just began contributing on, but there's a problem:

The F was unbalanced, meaning there was no way I could use this logo on rectangular button or shape. Ultimately the balance makes it a poorly designed logo.

I've been working for hours to balance this thing, but I simply cannot figure out how to create an "F" that is balanced with the "I" & "X" using the style shown here (this is horrid):

Is there any way that I can achieve symmetric balance with the letter F in this style?

How should I proceed after hours of not finding balance in this design?

Result after building upon advice here:

Note: I'm still not liking the balance / shape that I've achieved. I'll keep trying.

Thanks to everyone who helped here, and feel free to chime in in the future with advice that might help others with this kind of problem.