Subjects algebra

Expression Simplification 85A406

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1. **State the problem:** Simplify the expression $6 - 2x + 5 + 4x$ and identify the error in Tyler's work. 2. **Tyler's error:** Tyler incorrectly grouped terms as $(6 - 2)x + (5 + 4)x$ which is not valid because $6$ and $5$ are constants and cannot be combined with $x$ by factoring $x$ out of them. 3. **Correct approach:** Combine like terms properly. 4. Combine constants: $$6 + 5 = 11$$ 5. Combine $x$ terms: $$-2x + 4x = 2x$$ 6. Write the simplified expression: $$11 + 2x$$ 7. This expression has only two terms: a constant term and a term with $x$. **Final answer:** $$11 + 2x$$