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abs(6x+8) = |6x+8| has to be 50.
Positive case: Replace || with ()
(6x+8) = 50 [-8]
6x = 42 [/6]
x = 7

Negative case: Replace || with -()
-(6x+8) = -6x - 8 = 50 [+8]
-6x = 58 [/-6]
x = -58/6 = -29/3