How effective is the Nikon D40's flash at lighting distant objects?

I was thinking of getting the Nikon D40.

One of the problems I have had with older digital consumer-grade cameras is that the flash does not work on scenes that are more than 12 feet away from the camera.

With these older cameras, when I photograph a scene in a room that is more than a dozen feet away, it winds up looking very dark because the flash couldn't handle the long distance.

It's been a number of years since I have bought a digital camera, and if I get something like the D40, will the flash disappoint me?
 
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