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I have Acronis True Image ver 11 (never used).
For discussion, I will call the variations they sell as programs.
I browsed their site and got the impression that the standard program, is only for recovering to the same hardware.
If you wish to be able to transplant it onto another pc you need other programs.
For example, you need 'Echo Workstation' and 'Universal Restore'.
Do you need those programs, if you are moving to another hard drive, like you did ?
Rob