Multiply and simplify: \( \frac{6 r}{x} \cdot \frac{7 x}{2 c} \) Be sure to use parentheses as needed when entering your answer

To multiply and simplify the expression \( \frac{6 r}{x} \cdot \frac{7 x}{2 c} \), first, multiply the numerators together and the denominators together: \[ \frac{6 r \cdot 7 x}{x \cdot 2 c} = \frac{42 r x}{2 c x} \] Next, you can simplify by canceling out the \( x \) from the numerator and the denominator (assuming \( x \neq 0 \)): \[ \frac{42 r}{2 c} \] Now, divide the numerator and the denominator by their greatest common divisor, which is 2: \[ \frac{21 r}{c} \] So, the simplified result is \( \frac{21 r}{c} \).