1. Let's start by understanding what simplifying algebraic expressions means. It involves combining like terms and reducing the expression to its simplest form. 2. The key formula or rule to remember is: Combine terms that have the same variable raised to the same power. 3. For example, in the expression $3x + 5x - 2x$, all terms are like terms because they all contain $x$. 4. Combine them by adding or subtracting their coefficients: $$3x + 5x - 2x = (3 + 5 - 2)x = 6x$$ 5. Another important rule is to apply the distributive property when needed: $$a(b + c) = ab + ac$$ 6. For example, simplify $2(3x + 4) - 5x$: $$2(3x + 4) - 5x = 2 \times 3x + 2 \times 4 - 5x = 6x + 8 - 5x$$ 7. Now combine like terms: $$6x - 5x + 8 = (6 - 5)x + 8 = 1x + 8 = x + 8$$ 8. Always look for common factors to factor out and simplify further if possible. 9. Simplifying expressions makes solving equations easier and helps in understanding the structure of algebraic problems. Final answer: Simplified expressions combine like terms and apply distributive property to reduce to simplest form.