The Church of Jesus Christ of Latter-day Saints use the King James Version of the Holy Bible for personal and congregational study and lessons.  
 
The LDS Church DOES NOT believe that the Holy Bible is corrupt or that other religions are corrupt. We do believe the historical facts thought. That the Holy Bible both Old and New Testaments are not the complete writings of the Ancient Prophets before the time of Christ or after his mortal ministry.  
 
To find the evidence to support our believe one has to look no further than the Holy Bible itself. Old Testament makes references to several lost books of the Old Testament. In fact in the Book of Chronicles they even admit that the entirety of the Old Testament was lost for decades form the face of the Earth until parts were uncovered while remodeling the Temple in Jerusalem.  
 
Same goes for the New Testament, you have 15 Apostles that are recorded in the New Testament, yet only 2 of the Apostles (Matthew and John make it into the Gospels) the bulk of the New Testament is the Teachings of the Apostle Paul with some brief epistles by Peter, James and John the brother of James.  
 
So where is the testimonies and the epistles of the remaining Apostles or of Mary the Mother of Christ, and other friends and close acquaintances? 
 
We know that many of them wrote of Christ, where are there writings? 
 
We know that the Cannon is not closed, nor can it ever be closed since our Father in Heaven has always and will always communicate to his children through his servants the prophets.  
 
Be believe that since the Church of Jesus Christ of Latter-day Saints is the only Church that has Prophets and Apostles, who have the only priesthood link that goes directly to the Savior himself that we are the one true Church that has the most complete message of the Gospel available to man.  
 
This does not mean that other congregations are corrupt just that we have more clarity and understanding through the leadership of the Holy Apostleship of Jesus Christ restored to the Earth by Christ through his Prophet Joseph Smith.  
 
Every Church that is teaching the Holy Bible is a great Church one that does man great works, and while some might be corrupt or seeking the worldly rewards over spiritual rewards. We know that almost every one is a honest and righteous organization.  
 
All we ask if your those whom seek to learn more of Christ and his love for mankind come and worship the savior with us and learn more of the Father's loving Plan of Salvation!

Actually, I think we do believe that parts of the Bible were taken out and/or changed. The reason we can still use the Bible is because Joseph Smith made clear the mind of God in the parts that are considered hard for the western mind to understand, or that were incorrect. You can check out any LDS King James Bible for this. It is important to note that we didn't change anything in the King James Bible, we just put footnotes for better understanding within our versions. I hope I don't come off controversial or anything.