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I have an actor controlled by the arrow keys. how can I make the view follow my actor only horizontaly, not verticly?

You can try this:

In the 'Draw Actor' event of view, put this script:

x = player.x - width/2;

To put some elasticity:

x = ((player.x - width/2) + 9*x)/10;

Thanks, Makslane. I liked your elasticity thing!

x = ((player.x - width/2) + 9*x)/10;

Me too, I've allways loved those tricks!

Be careful about moving the view all the time though; it can cause a decrease in performance.