Simplify. \[ \frac{7 x+14}{x^{2}+2 x} \] \[ \frac{7 x+14}{x^{2}+2 x}= \]

Step 1 ：Define the expression \(\frac{7 x+14}{x^{2}+2 x}\)

Step 2 ：Simplify the expression using algebraic operations

Step 3 ：The simplified expression is \(\frac{7}{x}\)

Step 4 ：\(\boxed{\frac{7}{x}}\) is the final simplified form of the expression