After starting up edb on x86, the following message is shown:

edb Failed to Load A Necessary Plugin
Failed to successfully load the dubber core plugin. Please make sure it exists and the plugin path is correctly configured.
This is normal if edb has not been previously run or the configuration file has been removed.

This is not the case with x64 however (it starts up correctly).

After the pop up, you get the options preferences panel, follow by another pop up saying it will re-close.

• The current path for the plugin directory for x86: /usr/lib/1-linux-gnu/edb
  root@kali:~# file /usr/lib/1-linux-gnu/edb
  /usr/lib/1-linux-gnu/edb: cannot open `/usr/lib/1-linux-gnu/edb' (No such file or directory)
  root@kali:~#

• The path for the plugin directory for x64: /usr/lib/x86_64-linux-gnu/edb
  root@kali:~# file /usr/lib/x86_64-linux-gnu/edb
  /usr/lib/x86_64-linux-gnu/edb: directory
  root@kali:~#

The solution is to change the plugin path from: /usr/lib/1-linux-gnu/edb
To: /usr/lib/i386-linux-gnu/edb
For x86.

root@kali:~# ls /usr/lib/i386-linux-gnu/edb
libAnalyzer.so libBinarySearcher.so libDebuggerCore.so libHeapAnalyzer.so libROPTool.so
libAssembler.so libBookmarks.so libDumpState.so libODbgRegisterView.so libReferences.so
libBacktrace.so libBreakpointManager.so libFunctionFinder.so libOpcodeSearcher.so libSymbolViewer.so
libBinaryInfo.so libCheckVersion.so libHardwareBreakpoints.so libProcessProperties.so
root@kali:~#

To get the to configuration panel:
Options -> Preferences -> Directory -> Plugin Directory