Officejet 7500 cartridges are stuck to the right. No jam is detected.

[Cami0508]

Cartridges are stuck to the right and don’t move when the cartridge door is opened. 

[Riddle_Decipher]

@Cami0508 I recommend you perform the below steps in an attempt to resolve the issue:

Turn the printer on, if it is not already on.

Wait until the printer is idle and silent before you continue.

With the printer turned on, disconnect the power cord from the rear of the printer.

Unplug the power cord from the wall outlet.

Wait at least 60 seconds.

Plug the power cord back into the wall outlet.

NOTE: 

HP recommends connecting the printer power cord directly to the wall outlet.

Reconnect the power cord to the rear of the printer.

Turn on the printer, if it does not automatically turn on.

Wait until the printer is idle and silent before you proceed.

After the product turns on, release both buttons. The product resets to the factory defaults.
Try to print a self-test report. See the steps on how to print a self-test report at the beginning of this document.
If these steps resolved the issue and the test page prints, there is no need to continue troubleshooting. Reconnect the USB cable, and then try to print again.
If the test page prints successfully, but you experience a different issue with your printer, Refer this article to further troubleshoot carriage jam issues

If that doesn't help, I'm afraid that means that there's an hardware malfunction within the device and requires a repair/replacement, that said, I suggest you talk to HP support and discuss your options, follow the below steps to get started:

1) Click on this link - http://www.hp.com/contacthp/

2) Click on Sign-in or select the product using the below step:

3) Enter the serial of your device.

4) Select the country from the drop-down.

5) Click on "Show Options".

Fill the web-form, to populate a case number and phone number for yourself!

Also, if you are having trouble navigating through the above options, it's most likely because the device is out of warranty, if yes? please send me a private message with the region you are contacting us from, 

here's how private messages work: Click here for details

P.S: Welcome to HP Community 😉

If you wish to thank me for my efforts, you could click on "Accept as solution" on my post as the solution should help others too..

[Cami0508]

When you say release both buttons, I’m not sure what ones you mean. Thanks for the reply

[Cami0508]

This didn’t reset the printer unfortunately. 

[Riddle_Decipher]

@Cami0508 If none of that worked, its most likely because its a hardware malfunction and I suggest you talk to HP support and discuss your options, follow the below steps to get started:

1) Click on this link - http://www.hp.com/contacthp/

2) Click on Sign-in or select the product using the below step:

3) Enter the serial of your device.

4) Select the country from the drop-down.

5) Click on "Show Options".

Fill the web-form, to populate a case number and phone number for yourself!

Also, if you are having trouble navigating through the above options, it's most likely because the device is out of warranty, if yes? please send me a private message with the region you are contacting us from, 

here's how private messages work: Click here for details

If you wish to thank me for my efforts, you could click on "Accept as solution" on my post as the solution should help others too.