IPhone 4S stuck in recovery mode? - 2

First off, I have iOS 7. I don't know what version it was but me and my friend got a notification saying we needed to update and so we both did at the same time and hers loaded fine and her phone started up but mine went straight into recovery mode after the update. Which is a super big problem because the computer I had my phone backed up to is not working properly so I can't access my iTunes, plus I haven't backed it up in a while. I do not like the iCloud because it syncs my pictures and everything to my computer my high school has given me and I do not want them to see what's on my phone, therefore my iCloud is shut off. (It's a MacBook Air and has iTunes on it; if that matters)

I've tried holding the home button and the lock button I've tried everything and it's not possible for me to restore. The nearest Apple store is 45 minutes away and my mom refuses to take me.

Is there any way out of this? I seriously don't want to lose all my pictures and everything on my phone.

Press both the power and the home button until the apple logo shows up. Once the apple log shows up, keep holding the power button and hold the volume button.

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