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What is the Scriptural Basis Against the Trinity

Trinitarianism, or the Trinity, is the belief that God exists as three persons (God the Father, God the Son, and God the Holy Spirit) seperate, but co-equal.

This view is labelled as a heresy by some denominations and orthodoxy by others. What are common Biblical and theological arguments against trinitarianism?

UPDATE:

Since there are those out there who wish to see questions and answers like this disappear and have falsely marked this as a duplicate of some other answer, allow me to clarify how this differs. The proposed duplicate entry is http://christianity.stackexchange.com/questions/18043/what-is-the-biblical-basis-for-disbelief-in-the-doctrine-of-the-trinity. All those with eyes to see and minds to understand can quickly discern the differences, but allow me to point them out:

  1. That post/question was asked by a trinitarian whereas this one was not.
  2. That post/question was in regards to why people "disbelieve" whereas this post/question was in regards to scripture that opposes the doctrine/theory of the trinity without regard to one's own personal beliefs/disbeliefs.

It would also be beneficial to leave this alone even if you personally believe that this is a duplicate or want to see it closed for other reasons.

  1. This question has received more answers and more detailed answers
  2. There are many ways to ask the same question, and a user might not be able to find the answer if they're asking it a different way. http://christianity.stackexchange.com/help/duplicates

This specific question isn't related to one's own personal beliefs so it would be more fitting (as relating to reason 2 above) for someone searching for straight information on scripture and the trinity as opposed to finding out other's beliefs.