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ABCD is a rhombus. If AB= 4x+3 and BC= 9x-27, what is the value of x?

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4x+3=9x-27 (definition of a rhombus - all sides are congruent)
30=5x (subtraction and addition properties of equality)
x=6 (division property of equality)

Therefore, the value of x is 6.
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