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Answer :

In order to solve this equation, let's calculate the cross product of the fractions:

[tex]\begin{gathered} \frac{x}{x+7}=\frac{6}{5} \\ 5x=6(x+7) \\ 5x=6x+42 \\ 5x-6x=42 \\ -x=42 \\ x=-42 \end{gathered}[/tex]

So the correct option is A.

The solution set is {-42}