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To manipulate the equation \( y = 5x - 11 \) so that it is written in terms of \( x \), we follow these steps:
1. Start with the original equation:
\[
y = 5x - 11
\]
2. Add 11 to both sides:
\[
y + 11 = 5x
\]
3. Divide both sides by 5 to solve for \( x \):
\[
x = \frac{y + 11}{5}
\]
This gives us the equation in terms of \( x \).
Now we can compare this result to the given options:
A. \( x = \frac{y}{11} - 5 \)
B. \( x = \frac{y + 11}{5} \)
C. \( y - \frac{11}{5} \)
D. \( x = \frac{y}{5} + 11 \)
The correct equivalent equation is:
**B. \( x = \frac{y + 11}{5} \)**.