If \(\begin{vmatrix} 4 & x \\ 5 & 3 \end{vmatrix} = 32\), find the value of x.
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Correct Answer: Option D
Explanation:
\(\begin{vmatrix} 4 & x \\ 5 & 3 \end{vmatrix} = 12 - 5x = 32\)
\(5x = 12 - 32 = -20\)
\(x = -4\)
\(\begin{vmatrix} 4 & x \\ 5 & 3 \end{vmatrix} = 12 - 5x = 32\)
\(5x = 12 - 32 = -20\)
\(x = -4\)