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The easiest solution is to agree to file a joint tax return for the 2016 tax year. That way you each get the same benefit from all income and deductions. If you cannot get this agreement with your ex, then you could offer to make an agreement under which the party who gets the benefit of this tax effect will pay the other party an equalization payment so that each party gets the same benefit, regardless of who actually pays the tax.
Those are the only options -- and each requires an agreement between parties -- which after a divorce can admittedly be difficult to accomplish.
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