Final Answer:
The correct sequence for simplifying the expression (3x + 6) based on the order of operations is: 1) (3x), 2) (3x + 6).
Step-by-step explanation:
To simplify the expression (3x + 6) following the order of operations, we begin by evaluating the multiplication operation, (3x), as the first step. This involves multiplying the coefficient 3 by the variable (x), resulting in the term (3x). The second step is to combine this term with the constant term 6, which is the addition operation (3x + 6).
Following the correct order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction), multiplication is performed before addition. Therefore, (3x) takes precedence over (6). The final simplified expression is (3x + 6), reflecting the correct sequence of operations.
In summary, the correct order for simplifying 3x + 6) is to first perform the multiplication operation (3x) and then combine it with the constant term 6. This adherence to the order of operations ensures an accurate and standardized approach to simplifying algebraic expressions.