$$\frac{2x+3}{6x-1}\frac{x-b}{3x+1}$$
$\frac{\left(x-b\right)\left(2x+3\right)}{\left(6x-1\right)\left(3x+1\right)}$
$$\frac{\left(2x+3\right)\left(x-b\right)}{\left(6x-1\right)\left(3x+1\right)}$$
$$\frac{2x^{2}-2xb+3x-3b}{\left(6x-1\right)\left(3x+1\right)}$$
$$\frac{2x^{2}-2xb+3x-3b}{18x^{2}+6x-3x-1}$$
$$\frac{2x^{2}-2xb+3x-3b}{18x^{2}+3x-1}$$
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$\frac{2x^{2}-2bx+3x-3b}{\left(6x-1\right)\left(3x+1\right)}$