I'm going to try and make it easier for those of you who don't understand by showing how we got "TESTING 1 2 3." I'll use Tiger's pictures, because that's the ring I used. (<3 Tiger)
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
Every number with a 1 above it means: Align the inner 1 with the outer E (0 means skip and put a 0 in the final solution), which you can see in this picture:
Since the first character is 6, look for 6 on the outside ring, and see what it aligns with on the inside. Using the picture, you can see that 6 aligns with 5. So, you write down 5:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 5 0 0 0
Let's go ahead and do all the 1's first since we're already aligned to it. The second one is B so look for B on the outer ring. You'll see that it aligns with 4:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 54 0 0 0
HEX: T
Now we have our first letter in the solution because T is 54 in HEX. Keep filling out the rest of the 1's, and it will end up looking like this:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 54 55 54 94 47 031 032 033
HEX: T T G 1 2 3
Every number with a 2 above it means: Align the inner 2 with the outer E, which you can see in this picture:
The first character with a 2 above it is 3. So, look for 3 on the outer ring, and we can see that it aligns with 4:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 54455 54 94 47 031 032 033
HEX: T E T G 1 2 3
Now we have an E, because E is 45 in HEX. The next number with a 2 above it is 7. So look for 7 on the outside ring and you see that it aligns with 3 on the inner ring:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 54455354 94 47 031 032 033
HEX: T E S T G 1 2 3
Finish aligning and filling out the ones with 2 above it and you'll end up with this:
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Align #: 11211211211211201120112011
Code: 6B36676B38B2B2E03EE03AE033
=: 54455354494e47203120322033
HEX: T E S T I N G 1 2 3
Hope that helps!
*Edit: Wrote out how we did the entire solution, and added to the LGPedia:
Step 6 Pattern