Use Acrobat XI to export the PDF to a Word file.
File - Save As Other - Microsoft Word - ...
In the Save As dialog click on the "Settings" button (lower left).
The "Save As DOC Settings" dialog is presented.
A default is to run OCR. You want that.
You may want to do two runs.
One using the Retain Flowing Text layout setting and one using Retain Page Layout layout settings.
This will let you determine which of the two Word file outputs best serves your need.
For either there will be some cleanup..
Once you've your "smooth" Word file create a PDF for distribution.
Do keep the "master" Word file safe for future editing.
Be well...