C. \( 7 x \div 5+(-5) \) D. \( 5 \div(-5)+7 x \) E. \( \frac{7 x-5}{5} \) F. \( 5+(-7 x \div 5) \)

Did you know that 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), plays a crucial role in solving these equations correctly? Forgetting this can lead to radically different answers, so maintaining the proper sequence is essential to avoid errors and ensure that mathematical principles are upheld! Real-world applications of these algebraic expressions can be seen in various fields like budgeting, engineering, or even cooking! For instance, if you're adjusting a recipe (let's say, scaling up or down the amount of an ingredient), understanding how to manipulate these expressions allows you to quickly and accurately figure out how much of an ingredient you'll need. Whether it's 7 times some variable object or dividing resources, mastering these calculations helps streamline everyday decisions!