Hi Hagman100,
I am not from Laminar Research; just a flight simmer from downunder.
Unfortunately I am unable to find your proposed purchase on the internet, especially on the HP website. If the 880-070 designation represents the model then other HP models with a higher designation indicates a better graphics cards that will run X-Plane. In your situation you have not supplied any technical information on the card or the processor so any "good" assessment cannot be provided.
X-Plane is resource hungry and the ability to get good frame rates depends on the integration of high end Graphics cards (GPU) and overclocked processors (CPU). It is well known that NVidia GPUs and Intel CPUs when used together provide the best performance.
Have a look at the following link and take some time to view some of the useful information. The link can be found at https://www.youtube.com/user/col2mab/videos The videos have been created by Michael Brown at XForcePC. Michael owns a business in the USA that builds PCs predominantly for X-Plane. Laminar Research recommends this business as the only supplier of PCs in the USA suitable for X-Plane.
Good luck.
Glenn