10 4/15-(х+7 1/10)=2 13/30

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First, let's convert all the mixed numbers to improper fractions:

4/15 - (x + 71/10) = 2 13/30
Convert 4 15/15 to an improper fraction:
= (4*15 + 15)/15
= 75/15
= 5

Convert 2 13/30 to an improper fraction:
= (2*30 + 13)/30
= 73/30

Now, the equation becomes:
5 - (x + 71/10) = 73/30

Let's simplify the equation further:
5 - x - 71/10 = 73/30

Therefore, the solution to the equation is x = -4.533333333333333.