Evaluate ((x+7)/2)(6/x)

$(\frac{x + 7}{2}) (\frac{6}{x})$

Cancel the common factor of $2$ .

Factor $2$ out of $6$ .

$\frac{x + 7}{2} \cdot \frac{2 (3)}{x}$

Cancel the common factor.

$\frac{x + 7}{2} \cdot \frac{2 \cdot 3}{x}$

Rewrite the expression.

$(x + 7) \frac{3}{x}$

$(x + 7) \frac{3}{x}$

Multiply $x + 7$ by $\frac{3}{x}$ .

$\frac{(x + 7) \cdot 3}{x}$

Move $3$ to the left of $x + 7$ .

$\frac{3 (x + 7)}{x}$

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