I had not previously seen this machine, but its $600 with a dedicated video card and everything else you specified except for battery life. Getting anything with a decent video card or graphics capable will not have 6 hours standard battery life. But you could probably find a 12 cell battery that would boost the 2.5 hours to 3.5 or more

You can go with a laptop with integrated graphics, such as this but you would barely be able to play Sims 3 on minimum settings and even then it's choppy. I know because my wife's previous laptop could barely handle it. But this one does say 8 hours battery life. But its only 32 bit, which adds to the battery life but at a loss of computing power.

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