It seems like there is an extra symbol in the equation you provided, specifically the dollar signs. Let me reformat the equation for clarity:

\[
x + 3 = x + 3
\]

This equation is an identity because both sides are the same. This means it is true for all values of \( x \). Any value of \( x \) will satisfy this equation, so the solution is:

\[
x \in \mathbb{R}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you solve equations where the variables cancel out on both sides?
2. What is the difference between an identity and a conditional equation?
3. How do you solve equations with variables on both sides that do not simplify easily?
4. Can you give an example of an equation that has no solution?
5. How do inequalities differ from equations in their solutions?

**Tip:** When solving an equation, always simplify both sides to see if they are identical, which would indicate an identity.

Learn how to identify and solve identity equations like x + 3 = x + 3. This guide covers key algebraic concepts, explaining why identity equations are true for all values of x. Suitable for students in Grades 6-8.

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