The HP website makes no distinction between versions of Windows 7 for your laptop.
I would use the drivers provided by HP for your laptop:
If I were you, I would contact HP support, as they provided the laptop with switchable graphics and drivers.
I had an AMD/Intel hybrid rig from HP once, drivers are a pita.
As Al_Hill said install the hybrid driver from HP once.
Afterwards you can update the Catalyst driver, but never touch the Intel driver again.
This message was posted on behalf of Intel Corporation
The switchable graphics computer will not work with the drivers provided by Intel at https://downloadcenter.intel.com/, you will need to install drivers directly from HP web site.
Our drivers do not provide proper features for this switchable computer.
You need to install the Intel® graphics driver first then install Radeon drivers.
Windows® 7 64 bit drivers