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There is a command line tool that is installed with Qgis that can shift all features. Open the command prompt and input the following:
ogr2ogr data_shifted.shp original_data.shp -dialect sqlite -sql "SELECT ShiftCoords(geometry,1,10) FROM data"
X shift = 1
Y shift = 10
Adjust those values as needed.
The above answer is from the page How to easily shift ...
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