well I've had the same problem and I'm still struggling with it.... come on that is none even none of the helpers from Opera Ltd who would provide a solution from for that I mean
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I cannot find (in Ubuntu Linux on my phone attached via USB) any kind of folder which would indicate that it belonged to Opera Browser I have some dozens and dozens / almost 200 / saved pages and so on and I would like to transmit it to my new S 5....?!?