Answer
$2x +\frac{1}{2}$
Work Step by Step
RECALL:
The distributive property states that for any real numbers a, b, and c:
$a(b+c) = ab + ac$
Use the distributive property to obtain:
$=3(\frac{2}{3}x) +3(\frac{1}{6})
\\=\frac{6}{3}x + \frac{3}{6}$
Simplify each fraction by canceling common factors to obtain:
$\require{cancel}
=\left(\dfrac{\cancel{6}2}{\cancel{3}}x\right) + \dfrac{\cancel{3}}{\cancel{6}2}\\
\\=2x +\frac{1}{2}$
