The official download link for the 32-bit x86 version of Batocera (specifically for older 32-bit PCs) is available through the official Batocera download page under the section for "very old PCs (20+ year-old)". Direct Download Links (32-bit x86) Current Stable Build: Official 32-bit x86 Link

Community Links: While some third-party Google Drive links exist for pre-loaded 32GB images, it is always recommended to use the official website to ensure you have the most secure and up-to-date version. Hardware Requirements for a 32GB Setup

The x86 (32-bit) version is specifically designed to give new life to pre-2010 computers. System Optimization:

The official 32-bit version of Batocera for older PCs can be downloaded directly from the Batocera Download page by selecting the "Old Desktop/Laptop with a 32bit CPU" option. A 32GB storage device is the recommended minimum size to ensure full functionality, including the ability to download automatic updates.  Key Features for 32-bit PCs