https://github.com/google/skywater-pdk
x86 hasn't been "simple" since around the 286 days. IC fabs even less.
Plz. define "build in my garage"? Fabricate IC's? Build cpu from heaps of discrete transistors? Implement on programmable logic eg. FPGA?
Is "Linux capable" a requirement? Again: kinda conflicts with "simple" - especially considering other things needed to make a working system (screen or serial console, keyboard etc). A small RTOS may be more up your alley.
If custom IC: a rough estimate of transistor budget would help. And what peripherals or memory you'd want integrated (if any).