1. Let's start with a basic algebraic expression to simplify, for example, $3x + 5x - 2 + 4$. 2. First, combine like terms. Like terms are terms that have the same variable raised to the same power. Here, $3x$ and $5x$ are like terms. 3. Add the coefficients of the like terms: $3x + 5x = (3 + 5)x = 8x$. 4. Next, combine the constant terms: $-2 + 4 = 2$. 5. Now, write the simplified expression by putting together the results: $8x + 2$. 6. So, the simplified form of $3x + 5x - 2 + 4$ is $8x + 2$. This process applies to any algebraic expression: identify like terms, combine their coefficients, and simplify constants.