Simplify 1/2(8x+2)

$\frac{1}{2} (8 x + 2)$

Apply the distributive property.

$\frac{1}{2} (8 x) + \frac{1}{2} \cdot 2$

Cancel the common factor of $2$ .

Factor $2$ out of $8 x$ .

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

Cancel the common factor.

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

Rewrite the expression.

$4 x + \frac{1}{2} \cdot 2$

$4 x + \frac{1}{2} \cdot 2$

Cancel the common factor of $2$ .

Cancel the common factor.

$4 x + \frac{1}{2} \cdot 2$

Rewrite the expression.

$4 x + 1$

$4 x + 1$

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