What's the meaning of have the balls to do ?
E.G.
I work for another company that lends me out to pussies like Steve's boss who don't have the balls to sack their own employees

Question

What's the meaning of have the balls to do ?
E.G. 
I work for another company that lends me out to pussies like Steve's boss who don't have the balls to sack their own employees

Answer

Also, please be aware that this is a very informal phrase, and mildly vulgar.

Balls is slang for testicles. So it's saying that one is manly enough to do something.

Answer

Having the potency (/the courage) to do something.
To dare doing something.

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cmorrill is right, this is not a phrase you want to use

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in addition it means that you have a guts to do something hard.

cowboy....