To simplify the expression \( 5 + \frac{36}{3} \times 6 \), we need to follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
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First, divide \( 36 \) by \( 3 \): \[ \frac{36}{3} = 12 \]
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Next, multiply \( 12 \) by \( 6 \): \[ 12 \times 6 = 72 \]
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Now add \( 5 \) to the result: \[ 5 + 72 = 77 \]
So, the simplified expression is \( \boxed{77} \).