Spicegirl1992 You are right about the second link, now that i read it more closely, i see that you need different commands, when removing and reinstalling alsa and pulseaudio in Solus Budgie:
Remove alsa & pulseaudio from terminal: sudo eopkg rm alsa-firmware alsa-lib alsa-lib-32bit alsa-plugins alsa-plugins-32bit alsa-utils pulseaudio pulseaudio-32bit
Install alsa & pulseaudio again: sudo eopkg it alsa-firmware alsa-lib alsa-lib-32bit alsa-plugins alsa-plugins-32bit alsa-utils pulseaudio pulseaudio-32bit
I would reboot after trying this, and if it is pavucontrol that you cant open, i would try to reinstall that after the reboot: sudo eopkg it --reinstall pavucontrol