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I'm writing this from a live session haha. I can shrink the swap to nothing. If i try to move or resize sda5 i get You have queued an operation to move the start sector of partition /dev/sda5. Failure to boot is most likely to occur if you move the GNU/Linux partition containing /boot, or if you move the Windows system partition C:. You can learn how to repair the boot configuration in the GParted FAQ.
swap
shrink might expandsda5
as that would place the free space beside it. But not sure aboutsda6