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solve the following.\\(-66 = 6 (9x + 7)\\)\\(x = \\)\\(\\)question help…

Question

solve the following.\\(-66 = 6 (9x + 7)\\)\\(x = \\)\\(\\)question help: \\(\\)video

Explanation:

Step1: Divide both sides by 6

To isolate the term with \(x\), we divide both sides of the equation \(-66 = 6(9x + 7)\) by 6.
\[
\frac{-66}{6}=\frac{6(9x + 7)}{6}
\]
Simplifying both sides, we get \(-11 = 9x + 7\).

Step2: Subtract 7 from both sides

Now, we subtract 7 from both sides to get closer to isolating \(x\).
\[
-11 - 7=9x + 7 - 7
\]
Simplifying, we have \(-18 = 9x\).

Step3: Divide both sides by 9

Finally, we divide both sides by 9 to solve for \(x\).
\[
\frac{-18}{9}=\frac{9x}{9}
\]
Simplifying, we find \(x = - 2\).

Answer:

\(x=-2\)