Showing/hiding controls based on event
Not sure if there are any other constraints but here is one possible solution:

private void enableFolderVariableRemoval_CheckedChanged(object sender, EventArgs e)
{
    cleanFolderTextPanel.Visible = enableFolderVariableRemoval.Checked; 
    cleanTextPanel.Visible = cleanFolderTextPanel.Visible || cleanFilenameTextPanel.Visible;        
}