Question 858523
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Add -7 to both sides:  *[tex \LARGE -7\ +\ 7\ +\ 6x\ =\ 61\ +\ (-7)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6x\ =\ 54]


Multiply both sides by *[tex \LARGE \frac{1}{6}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{1}{6}\left(6x\right)\ =\ \frac{1}{6}\left(54\right)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 9]


Check your work:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7\ +\ 6(9)\ =\ 61]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7\ +\ 54\ =\ 61]


Checks. 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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