Let's solve the equation:

Given:  
\[ 6x + 3 - 6x = 3 \]

1. Combine like terms on the left side. Notice that \(6x - 6x\) cancels out, leaving:
\[ 3 = 3 \]

This is an identity, meaning the equation is true for all values of \(x\). Therefore, the solution is:

**All real numbers**.

Would you like further details or have any questions?

Here are 5 related questions to explore:

1. How do you solve an equation where the variables cancel out completely?
2. What is the difference between an identity and a contradiction in algebra?
3. How would the solution change if the equation was \(6x + 3 - 6x = 5\)?
4. Can you explain how to check if an equation is an identity?
5. How do you handle equations with variables on both sides that don't cancel out?

**Tip:** When solving equations, always look to simplify both sides first. It can help reveal patterns like identities or contradictions quickly.

Learn how to solve the equation 6x + 3 - 6x = 3 with a detailed step-by-step solution. This problem covers key algebraic concepts, including simplification of equations. Suitable for students in Grades 6-8.

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