
[BOR]
0: Safe
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[EOR]
[BOC]
[3x-1] / 2 should have become [9x-3] / 6

(you forgot to multiply the -1 by 3)

The next step in the (correct) direction you are going is to turn the 7 into "something over 6" giving you the equation

[9x-3] / 6 + SOMETHING / 6 = [4x+14] / 6

And you will be able to cancel all the " /6 "s. (You can cancel as long as every fraction being added/subtracted has the same denominator).
[EOC]

0: Safe