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I have an iPhone5C & the LCD Screen is broken on the phone so nothing will light up. I own a MacBook Pro 13inch & Windows 10, which I have iExplorer (Demo) & iTunes on the Mac. But my iPhone X will show & perfectly fine. How do I get the iPhone 5c to show up & let me access the photos among it?

The phone needs to be unlocked and trusted to the computer for it to allow you to access data on the phone. With a screen showing no display you won’t be able to do that as you can’t unlock the phone and press the trust button. You’ll have to get the screen replaced first to get data off the phone. You could get a reputable repair shop to temporarily plug in a screen for the 5C and make an iTunes backup but that isn’t really the best way in my opinion as iTunes backups are usually used to restore on another iPhone (Also it’s hard to transfer iTunes backups from one computer to another) and that overwrites existing data on that iPhone if I remember correctly so better to just get the screen replaced.