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-\frac{1}{3}x-\frac{1}{3}\times \frac{7}{2}
Use the distributive property to multiply -\frac{1}{3} by x+\frac{7}{2}.
-\frac{1}{3}x+\frac{-7}{3\times 2}
Multiply -\frac{1}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
-\frac{1}{3}x+\frac{-7}{6}
Do the multiplications in the fraction \frac{-7}{3\times 2}.
-\frac{1}{3}x-\frac{7}{6}
Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.
-\frac{1}{3}x-\frac{1}{3}\times \frac{7}{2}
Use the distributive property to multiply -\frac{1}{3} by x+\frac{7}{2}.
-\frac{1}{3}x+\frac{-7}{3\times 2}
Multiply -\frac{1}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
-\frac{1}{3}x+\frac{-7}{6}
Do the multiplications in the fraction \frac{-7}{3\times 2}.
-\frac{1}{3}x-\frac{7}{6}
Fraction \frac{-7}{6} can be rewritten as -\frac{7}{6} by extracting the negative sign.