AdMob and IntelliJ 14.1

Hi Guys,

I have been lookking through many sites and recommendations on the net to figure out why I can't get a simple android app to work with the newest Google Play Services and AdMob.

I did the steps in the AdMob manual and:
1) Added the google-play-services jar as a dependency
2) Added google-play-services.jar just as a library in Module setting
3) Tried to import it using New -> Module from existing source. This makes IntelliJ break my project.
4) Put google-play-service.jar into my /libs folder.
5) Compile for API level 8, 11, and 13.

When I run the app it gets a FATAL EXCEPTION saying :
Error inflating class com.google.android.gms.ads.AdView
.
.
Caused by: java.lang.NoClassDefFoundError: Failed resolution of: Lcom/google/android/gms/R$stylable;

My imports:

import com.google.android.gms.ads.AdRequest;
import com.google.android.gms.ads.AdView;

My simple onCreate:

@Override
public void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.main);

    AdView mAdView = (AdView) findViewById(R.id.adView);
    AdRequest adRequest = new AdRequest.Builder().build();
    mAdView.loadAd(adRequest);
}

And in my layout:

<com.google.android.gms.ads.AdView
        android:id="@+id/adView"
        android:layout_width="wrap_content"
        android:layout_height="wrap_content"
        android:layout_centerHorizontal="true"
        android:layout_alignParentBottom="true"
        ads:adSize="BANNER"
        ads:adUnitId="@string/banner_ad_unit_id">
</com.google.android.gms.ads.AdView>

So names and namespaces should be correct. I am testing on a Samsung Galaxy 5 and a Nexus 9. Same error.

In pure desperation my next try is to install Android Studio on another machine and se if that works better.

Any suggestions are appreciated.