To solve for \( x \) in the equation \( 6.46x + 64 = 41.7316 + 8 \), let's simplify the right side first.
- Combine the terms on the right side:
\[ 41.7316 + 8 = 49.7316 \]
Now, the equation looks like this:
\[ 6.46x + 64 = 49.7316 \]
- Next, subtract 64 from both sides:
\[ 6.46x = 49.7316 - 64 \]
Calculating the right side:
\[ 49.7316 - 64 = -14.2684 \]
Now the equation simplifies to:
\[ 6.46x = -14.2684 \]
- Finally, divide both sides by 6.46 to solve for \( x \):
\[ x = \frac{-14.2684}{6.46} \]
Calculating this gives:
\[ x \approx -2.209 \]
None of the provided options (A, B, C, D) match \( -2.209 \). Please check to make sure the problem statement and answer choices were correctly provided.