Determine values for which a quadrilateral is a parallelogram, math homework help

For what value of x must ABCD be a parallelogram?

A four-sided figure ABCD has two horizontal sides and two sides that rise from left to right. Figure ABCD has two diagonals, AC and BD. Diagonal BD is divided into two segments with one tick mark each. Diagonal AC is divided into two segments, one segment is 5x and another segment is 6x – 7.

For ABCD to be a parallelogram, the value of x must be

(Simplify your answer.)

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