How to get my music from my macbook air to my iPhone 5?

I want my music to be on both my laptop and phone.
i have some music on my phone that i don't have on my macbook air. I want to keep that on there, i just want the songs from my macbook air on my iPhone.

i did some research and a lot of people say to open iTunes, go to devices, music, then sync in the bottom right corner. But for me there's no "sync" in the bottom right corner!

Does the phone show up in iTunes? Along the top row you should see iPhone at the right end. If you don't see the phone, iTunes isn't recognizing it.

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