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mutual inductance problem

Attached is a problem (13.11) from Fundamentals of electric circuits. The workings are puzzling me, re mesh 1 and mesh 2.
I would have thought that the mutual inductance at the J720 inductor was J360 X I1 and at the J480 inductor was J360 X (I2 - I1) which does not tally with what's written here.
Can anyone help finding the correct workings, please?
 

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