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Answer :

We have the following equation given:

[tex]4(2x-1)-2=6+4(x+7)[/tex]

We can start distributing the terms in the equation and we got:

[tex]8x-4-2=6+4x+28[/tex]

8x-4-2=6+4x+28

Now we can simplify:

[tex]8x-6=4x+34[/tex]

8x-6=4x+34

We can subtract in both sides of the equation 4x and we got:

[tex]4x-6=34[/tex]

4x-6=34

And now we can add in both sides 6 and we got:

[tex]4x=40[/tex]

4x=40

And finally dividing both sides by 4 we got:

[tex]x=\frac{40}{4}=10[/tex]

x=40/4=10