Which is the simpliferl form of the expression \( 3\left(\frac{7}{8} x+4\right)-2\left(\frac{1}{2}-\frac{4}{4} x\right) \) ? A. \( \quad-\frac{32}{f} x-\frac{1}{1} \) B. \( \frac{68 x+9}{18} x+9 \) C. \( \frac{18}{1} x+\frac{1}{2} \) D. \( 15+\frac{78}{18} x \)

To simplify the expression \( 3\left(\frac{7}{8} x+4\right)-2\left(\frac{1}{2}-\frac{4}{4} x\right) \): 1. Distribute the 3: \[ 3\left(\frac{7}{8} x + 4\right) = \frac{21}{8} x + 12 \] 2. Distribute the -2: \[ -2\left(\frac{1}{2} - \frac{4}{4} x\right) = -1 + 2x \] 3. Combine both results: \[ \frac{21}{8} x + 12 - 1 + 2x = \frac{21}{8} x + 11 + 2x \] Convert \( 2x \) to eighths: \[ 2x = \frac{16}{8} x \] 4. Combine the x terms: \[ \frac{21}{8} x + \frac{16}{8} x = \frac{37}{8} x \] 5. So, the simplified expression is: \[ \frac{37}{8} x + 11 \] None of the provided answers appear to match this simplified form. Would you like help resolving any confusion with the options available?