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As you've noticed, one of the new additions in MW3 is weapon sway. When you ADS, the weapon automatically moves from side to side. However, it only does that after a few seconds depending on what type of gun you're using (I think on LMGs, they sway faster after ADS and on Assault Rifles there's a 2-3 second delay.). What you have to do to counteract the sway is to keep ADSing. What that'll do is that it'll reset the sway counter every time you ADS, so you get that extra precision. It's especially useful for the 3-burst guns like the Type95 or the M16 because sway is basically the only thing keeping it from getting a one burst.