You have to first backup your iPhone to computer, that means sync your iPhone to iTunes, the backp file will includes your text messages, contacts and other data. But this kind of backp file is an unreadable format, you cannot read and open it.  You need iPhone backp extractor app, it can extract all data from iPhone backp to your computer for read. There are many third party working for iPhone SMS backup such as Aiseesoft iPhone SMS Transfer--an useful iPhone SMS to Mac copy software that you are needed for transferring iPhone SMS to Mac. The following tutorial will tell you how to transfer SMS from iPhone to Mac step by step.

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