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You could try MathMap plugin for GIMP. https://github.com/schani/mathmap
If that looks daunting to you, then you need more simple tool to complete the task instead of using GIMP. As long as you know exactly the values of differences (scale, rotate, and move) and pivot point, you could use those values as input for matrix transform. If you only need to complete this task once, I recommend to use convert tool of ImageMagick with affine matrix transform parameter. If you need to do this task frequently, or to iterate the process until you satisfied with the result, You can automate the process using a python script. If you need more help, just DM me.