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Simplifying expressions is an essential skill in math. It involves reducing an equation or expression to its simplest form. This is particularly important in prealgebra since it lays the foundation for more complex algebraic concepts.
To begin simplifying an expression, look out for opportunities to apply the distributive property and combine like terms. This allows for a streamlined and more understandable expression.
For instance, in the expression \(18 - 4(x + 2)\), we first distribute \(-4\) to each term inside the parentheses. Through this process, we convert a more complex problem into a simpler one that is easier to manage and understand.
Always aim to simplify expressions as much as possible to make solving equations much easier down the line.

Combining like terms is a necessary step in simplifying expressions. Like terms are terms that contain the same variables raised to the same power. They can be constants or variables.
Once you apply the distributive property and have multiple terms, look out for like terms that you can combine. For example, in the expression \(18 - 4(x + 2) = 18 - 4x - 8\), we identify that 18 and -8 are like terms because they are both constants.
Combining these gives us a simplified and more workable expression: \(18 - 8 - 4x = 10 - 4x\). By combining like terms, we reduce the number of separate terms in the equation, aiding in clarity and simplifying further operations.

Prealgebra is the stepping stone to more advanced algebra topics. It covers foundational concepts such as simplifying expressions, combining like terms, and understanding the distributive property. These are all crucial to mastering algebra in future studies.
When you encounter an expression like \(18 - 4(x + 2)\), you're using skills learned in prealgebra to simplify it. You must grasp the key principles of prealgebra, as they make solving mathematical problems more systematic and less overwhelming.
Strengthening your prealgebra skills will not only help with solving textbook exercises but also build a strong foundation for higher-level math. Always practice these core concepts to achieve mathematical fluency.