English Translation
My brother bothers me!
I am doubtful that this is a useful translation for “nervt”. Perhaps “my brother gets on my nerves” is better?
“Gets on my nerves” is the closest to the German sentence, yes, but there are a few possible translations here that would be equivalent: he bothers me, he irritates me, he bugs me.
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he annoys me
he pisses me off
…
German also has some alternatives to offer:
auf die Nerven gehen
auf den Keks gehen
auf den Wecker gehen
auf den Senkel gehen
am Senkel gehen
auf den Zeiger gehen
auf den Geist gehen
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I’ve always liked “das geht mir auf den Keks” 
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