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Windows 7 backup storage space problem 0x81000033 resolution
I had the same problem and nothing that I did fixed the problem. I followed all of Microsoft's fixes to no avail. Luckily I found a website that had the exact fix, links to the free software you will need and detailed instructions (including screen shots). I followed the instructions and now my backup works flawlessly. The link to the website is below. Good luck!
How to fix Error code 0x81000033 when using Windows 7’s Backup and Restore