"General Use" is a very broad term. General use for an engineer or architect might be lots of complicated CAD and 3D design. General use for a student would be web browsing, e-mail, and word processing. We'd need to know what your usage will be like before we can recommend a computer to fit your specific needs.
Most of the people on these forums are awesome at designing builds with specific usage patterns in mind. just let us know how you intend to use your laptop and your budget and we'll steer you in the right direction.