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QUESTION IMAGE

(\frac{3}{6x - 6}+\frac{2}{x - 1}=)

Question

(\frac{3}{6x - 6}+\frac{2}{x - 1}=)

Explanation:

Step1: Factor denominator of first term

$\frac{3}{6(x-1)} + \frac{2}{x-1}$

Step2: Simplify first fraction

$\frac{1}{2(x-1)} + \frac{2}{x-1}$

Step3: Get common denominator

$\frac{1}{2(x-1)} + \frac{4}{2(x-1)}$

Step4: Add numerators

$\frac{1+4}{2(x-1)}$

Answer:

$\frac{5}{2(x-1)}$ (or $\frac{5}{2x-2}$)