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Let x be the coefficient of the 1st number and y be the coefficient of the 2nd number.
We get these equations for the 1st 2 sets of numbers
1x + 2y = 3
2x + 3y = 8.
Solving these 2 equations we get x = 7 and y = -2.
Therefore 4 "star" 7 = 4 7 + 7 -2 = 28 -14 = 14