Those of us in the west tend to forget that much of what we see is a form of propaganda, whether by governments or businesses, or even a large number of people. When you keep this in mind, everything you see becomes an opinion and your mind can comfortably (or at least not emotionally/hurriedly) form your own opinion over time.
You don't have to get outraged about something when you think about how that particular article might be trying to fan those flames and how what is reported might just be highlighting the points that push our buttons (but the real set of facts might not be as bad when looked into). Even the things that really are that bad don't have to lead to outrage. I take a wait-and-see attitude about a lot of this stuff we see in the media. There are trolls everywhere, we'll see if anything comes of it. I'm also capable of not liking something strongly without feeling rage with regards to it, while still wanting to combat it if I have a say in it at all.
Of course, "just don't let it get to you" is easy to say but hard to implement. I think it's the only real path that allows the inclusion of social media in our lives, though.