Subtract. \[ \frac{7}{x}-\frac{6}{x+1} \] Simplify your answer as much as possible. \( \square \)

Calculate or simplify the expression \( \frac{7}{x}-\frac{6}{x+1} \). Simplify the expression by following steps: - step0: Solution: \(\frac{7}{x}-\frac{6}{x+1}\) - step1: Reduce fractions to a common denominator: \(\frac{7\left(x+1\right)}{x\left(x+1\right)}-\frac{6x}{\left(x+1\right)x}\) - step2: Rewrite the expression: \(\frac{7\left(x+1\right)}{x\left(x+1\right)}-\frac{6x}{x\left(x+1\right)}\) - step3: Transform the expression: \(\frac{7\left(x+1\right)-6x}{x\left(x+1\right)}\) - step4: Multiply the terms: \(\frac{7x+7-6x}{x\left(x+1\right)}\) - step5: Subtract the terms: \(\frac{x+7}{x\left(x+1\right)}\) - step6: Multiply the terms: \(\frac{x+7}{x^{2}+x}\) The simplified form of the expression \( \frac{7}{x}-\frac{6}{x+1} \) is \( \frac{x+7}{x^{2}+x} \).