To solve the proportion \(-\frac{8}{2} = \frac{x+2}{11}\), we first simplify the left side:
\[ -\frac{8}{2} = -4. \]
Now, the equation is:
\[ -4 = \frac{x+2}{11}. \]
Next, we can eliminate the fraction by multiplying both sides by 11:
\[ -4 \cdot 11 = x + 2. \]
Calculating that gives:
\[ -44 = x + 2. \]
Now, to isolate \(x\), we subtract 2 from both sides:
\[ -44 - 2 = x, \]
which simplifies to:
\[ x = -46. \]
Thus, the solution is:
B. \(x = -46\).
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