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32=6x-\left(-14\right)
Multiply 7 and -2 to get -14.
32=6x+14
The opposite of -14 is 14.
6x+14=32
Swap sides so that all variable terms are on the left hand side.
6x=32-14
Subtract 14 from both sides.
6x=18
Subtract 14 from 32 to get 18.
x=\frac{18}{6}
Divide both sides by 6.
x=3
Divide 18 by 6 to get 3.