Divide the following rational expressions. Write the answer in lowest terms. \( \frac{5 x-15}{35}+\frac{7 x-21}{5} \)

Calculate or simplify the expression \( (5x-15)/35+(7x-21)/5 \). Simplify the expression by following steps: - step0: Solution: \(\frac{\left(5x-15\right)}{35}+\frac{\left(7x-21\right)}{5}\) - step1: Remove the parentheses: \(\frac{5x-15}{35}+\frac{7x-21}{5}\) - step2: Reduce the fraction: \(\frac{x-3}{7}+\frac{7x-21}{5}\) - step3: Reduce fractions to a common denominator: \(\frac{\left(x-3\right)\times 5}{7\times 5}+\frac{\left(7x-21\right)\times 7}{5\times 7}\) - step4: Multiply the numbers: \(\frac{\left(x-3\right)\times 5}{35}+\frac{\left(7x-21\right)\times 7}{5\times 7}\) - step5: Multiply the numbers: \(\frac{\left(x-3\right)\times 5}{35}+\frac{\left(7x-21\right)\times 7}{35}\) - step6: Transform the expression: \(\frac{\left(x-3\right)\times 5+\left(7x-21\right)\times 7}{35}\) - step7: Multiply the terms: \(\frac{5x-15+\left(7x-21\right)\times 7}{35}\) - step8: Multiply the terms: \(\frac{5x-15+49x-147}{35}\) - step9: Calculate: \(\frac{54x-162}{35}\) The sum of the given rational expressions is \( \frac{54x-162}{35} \).