Simplify Equations 6A849B

1. **State the problem:** We want to learn how to simplify equations. 2. **Formula and rules:** Simplifying equations involves combining like terms, using distributive property, and canceling common factors. 3. **Step-by-step explanation:** - Combine like terms: terms with the same variable and exponent. - Use distributive property: $$a(b+c) = ab + ac$$. - Cancel common factors by dividing both sides by the same nonzero number, showing cancellation with \cancel{}. 4. **Example:** Simplify $$2x + 3x - 4 + 6$$. - Combine like terms: $$2x + 3x = 5x$$. - Combine constants: $$-4 + 6 = 2$$. - So, simplified equation is $$5x + 2$$. 5. **Another example with cancellation:** Simplify $$\frac{6x}{3}$$. - Divide numerator and denominator by 3: $$\frac{\cancel{3} \cdot 2x}{\cancel{3}} = 2x$$. 6. **Summary:** Simplify equations by combining like terms, applying distributive property, and canceling common factors carefully.