I'm confident I won't go deaf by the time I'm 40, but only because I'm 53. I would usually choose to listen to music anyway, but in an open office, it's a requirement. It doesn't help with the visual distraction, but I have a pair of "Howard Leight" headphones by Honeywell. They are passive noise-cancelling (meaning they just block out noise really well, meant for environments that require hearing protection), have decent sound quality and only cost me about $30.
In addition to being completely unable to filter out any distracting noise, I also have misophonia, so an open office is anything between distracting as all get-out and torture, but the headphones and some good loud music mitigate that greatly.
Same with the passive noise-cancelling headphones (Etymotics or Tough Sounds) and misophonia albeit with a side order of rampant tinnitus for added "have to listen to music all day? well, you're going to suffer overnight / tomorrow then!".
(I once worked between someone who tapped their feet and someone who drummed on the desk constantly. Those weeks were not productive, even with headphones.)
In addition to being completely unable to filter out any distracting noise, I also have misophonia, so an open office is anything between distracting as all get-out and torture, but the headphones and some good loud music mitigate that greatly.