Besides adjusting at the clasp, you have to pry these apart on the links you need to remove and then re-assemble. In my experience a screwdriver is enough to get them apart and pliers (with tape on the end to prevent damage) is enough to get them back together when reassembling. Or you can have your watchmaker do it.
These are folded link- which means the metal is folded over. The ones closest to the clasp are the ones you add or remove and this was typically done by the dealer at the time of purchase. Any watchmaker can do it for you (for a nominal fee is you don’t have a relationship with one.
If you look at your pic, the ones closer to the lugs are flat and never been touched- the ones closer to the clasp are curved in which implies it has been resized before.
As Seeking said, you can do this yourself but if you don’t know what you are doing or aren’t good with small hand tools, you will leave tool marks on the bracelet. A small screwdriver can get the ends up and then a set of pointed jewelers pliers can get them up enough to remove the links. Then flat pliers can flatten them back down. Electrical tape on your tools is the way to avoid tool marks but check them regularly to make sure you didn’t break through the tape and reapply if necessary.
Oh- and if you need several links taken out, don’t take them all from one side or your bracelet will be lopsided. Hold the watch by the head with the clasp closed and look at the dangle (no dangle of and angle jokes please gents). Set the clasp pin to within 2 of the last hole and you will see if there is more in one side (that’s the side you pull from). If it’s dead even, then you want to pull one from each side.