Definitely don't try it if you don't want to cheat! This is as cheap as using a glitch to get the Warlords Heroes impossible badge.

Open Hexiom in two tabs. Obviously Kongregate will connect to only one tab, so let's call it a "connected tab". Activate the cheatcode in the disconnected tab. Start a random level in the connected tab, and copy the level code by clicking the "save level" button. Load the same level in the disconnected tab, and use the cheat to get the solution immediately. Copy the solution to the connected tab in 3 minutes.