Simplify 1/3(4(x+9)+5x)

$\frac{1}{3} (4 (x + 9) + 5 x)$

Simplify each term.

Apply the distributive property.

$\frac{1}{3} \cdot (4 x + 4 \cdot 9 + 5 x)$

Multiply $4$ by $9$ .

$\frac{1}{3} \cdot (4 x + 36 + 5 x)$

$\frac{1}{3} \cdot (4 x + 36 + 5 x)$

Simplify terms.

Add $4 x$ and $5 x$ .

$\frac{1}{3} \cdot (9 x + 36)$

Apply the distributive property.

$\frac{1}{3} (9 x) + \frac{1}{3} \cdot 36$

Cancel the common factor of $3$ .

Factor $3$ out of $9 x$ .

$\frac{1}{3} (3 (3 x)) + \frac{1}{3} \cdot 36$

Cancel the common factor.

$\frac{1}{3} (3 (3 x)) + \frac{1}{3} \cdot 36$

Rewrite the expression.

$3 x + \frac{1}{3} \cdot 36$

$3 x + \frac{1}{3} \cdot 36$

Cancel the common factor of $3$ .

Factor $3$ out of $36$ .

$3 x + \frac{1}{3} \cdot (3 (12))$

Cancel the common factor.

$3 x + \frac{1}{3} \cdot (3 \cdot 12)$

Rewrite the expression.

$3 x + 12$

$3 x + 12$

$3 x + 12$

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