It's always easier to feel like the bigger person when you never react emotionally. It's also easier to claim people don't understand you/things don't go your way, when you aren't honest about how you feel.
On a day to day basis, it could just mean processing your thoughts out loud, so people can understand your position. Try integrating some variation of these-
Professionally: 'At first that looks a little one sided, but after I think about it I can see your point'
Personally: 'That sounds like bullshit at first, but I can understand where you are coming from'
It's great to be able to logically the find reasoning behind others decisions, it is one of the cornerstones to building stable personal and professional relationships. However, emotions aren't logical. Who we connect with rarely has to do with what they look like on paper, and more to do with our emotional understanding of them. How can people build trust with you if they never know how you feel?
Relationships are not rational. Your favorite bands, places, people, things to do, are all connected to how they make you feel. Trust isn't built with a spreadsheet, communicating how you feel will do nothing but strengthen the connections with those around you.