[A, B, C, D] denotes A·B·C-D. [4, x, -12, -23] = 13, what is x?

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[GMAT math practice question]

[A, B, C, D] denotes A·B·C-D. [4, x, -1/2, -2/3] = 1/3, what is x?

A. 1/6
B. 1
C. 5/3
D. 9/7
E. 2

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=>
We have 4x(-1/2) - (-2/3) = 1/3 or -2x = -1/3.
Then we have x = 1/6.

Therefore, A is the correct answer.
Answer: A