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Answer:

  x = 6

Step-by-step explanation:

The ratio of the long segment to the whole is the same for both transversals.

  (4x +3)/15 = (8+10)/10 = (whole)/(long segment)

  2(4x +3) = 3(18) . . . . . . . multiply by 30

  8x = 48 . . . . . . . . . . . . . . subtract 6, simplify

  x = 6 . . . . . . . . divide by 8

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