Yeah, a complete reinstall. That seemed like the simplest way to get WINE working, and I realized I really don't use 64-bit programs much, and I only have 4 GB RAM.

Here's the output of that command:
root[impatiens]# slapt-get -se ^kernel|grep yes
kernel-firmware-2.6.37.6-noarch-2 [inst=yes ...

Alright, I went back to the x86 version of Salix. I installed the kernel-source. I downloaded the x86 version of Virtualbox. I have a problem with vboxdrv again, so I run /etc/rc.d/rc.vboxdrv setup:
root[impatiens]# /etc/rc.d/rc.vboxdrv setup
Stopping VirtualBox kernel modules ...done.
Uninstalling ...

I guess I don't really need a newer kernel, strictly speaking. The big problem with BasicLinux is I can only install it if I have either DOS or spare floppies. The laptop has a floppy drive, but no other system in my house does, and the external floppy drive I bought turned out to be defective. Also ...

So my options pretty much are:
A. Buy a hard drive enclosure, and hook up the hard drive to one of my computers via USB.
Probably the easiest option, but one that will cost me a lot of money. And it wouldn't necessarily be a good investment, since the hard drive would be virtually useless for ...

Thanks for being patient with me.

I installed the Fluxbox Live CD originally, and didn't realize it wasn't 64-bit. I guess I shouldn't assume things. I'll most likely use Shador's kernel and kernel-source again, since that's definitely much easier than trying to install my wireless drivers manually ...

I decided I'm going to install the 64-bit version of Salix. That should solve this problem, right?

Oh, now I get what you're asking. I didn't use the package management system to upgrade the kernel. I used Firefox to download everything, extracted the files, put everything in the right place, and ran the included shell scripts.

I guess not. How would I go about fixing that problem?

Sorry if I'm a little dense. I'm still trying to figure out life outside the *buntus.

Okay, here is the output of those commands, plus uname -a:
root[impatiens]# uname -r
3.3.6
root[impatiens]# slapt-get -search '^kernel-'
kernel-firmware-2.6.33.4-noarch-1 [inst=yes]: kernel-firmware (Firmware installed by the kernel)
kernel-firmware-20120508git-noarch-1ab [inst=no]: kernel ...

Thanks for your help, guys. I installed the right kernel-source, and /etc/rc.d/rc.vboxdrv setup still fails. My vbox-install.log now looks like this:
make KBUILD_VERBOSE=1 SUBDIRS=/tmp/vbox.0 SRCROOT=/tmp/vbox.0 CONFIG_MODULE_SIG= -C /lib/modules/3.3.6/build modules
/usr/src/linux-3.3.6/arch/x86 ...