It won't hurt you to try it.

你不妨试试。

There's still an outside chance that he'll make it into the finals.

他打入决赛还有一线希望。

Don't lose sleep over it.

别因为这事儿睡不着觉。

I'm sorry to say this, but there seems to be a mistake.

对不起，这儿好像有个错。

Stop carrying the weight of the world on your shoulders.

别太操心了，没有你地球照样转。 （carry the weight of the world on one’s shoulders:自以为重任在肩。）

I wouldn't say that.

我并不那么忍为。