Question

b) \\(\frac{3}{5}(10x - 55) + (7x - 6)\\) (with some partial text above: in factored form. sh)

Explanation:

Step1: Distribute the fraction

$\frac{3}{5}(10x - 55) = \frac{3}{5} \cdot 10x - \frac{3}{5} \cdot 55 = 6x - 33$

Step2: Combine like terms

$(6x - 33) + (7x - 6) = (6x + 7x) + (-33 - 6) = 13x - 39$

Step3: Factor out the GCF

$\text{GCF of } 13x \text{ and } 39 \text{ is } 13, \text{ so } 13x - 39 = 13(x - 3)$

Answer:

$13(x - 3)$