Final answer:
The given expression simplifies to 200 following the order of operations, which involves performing division and multiplication before addition and subtraction.
Step-by-step explanation:
The question asks us to simplify the given mathematical expression without parentheses. When simplifying an expression, it's important to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
The original expression provided is 54 + (98 ÷ 14) + (23 × 17) - 200 - (312 ÷ 6) = 200. Removing the parentheses and simplifying, we should calculate the division (indicated by ":") and multiplication first. So, the expression changes to 54 + 7 + 391 - 200 - 52. Next, we perform the addition and subtraction from left to right: 54 + 7 = 61; 61 + 391 = 452; 452 - 200 = 252; finally, 252 - 52 = 200. Thus, after simplifying the expression, we find that it indeed equals 200, confirming the initial given equality.