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You offset them so that the seams that were on the edge of the image are now in the centre, sitting next to each other.
This makes the seams really obvious to you and easy to fix both sides at once, rather than having to judge one edge of the image against the other by eye alone.
You can now edit out the seams and see that they blend together well, then put the sections back to their original positions and have a nice, seamless texture.
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