Alexa simplified the expression \( 5-3 x+8+6 x \). Find where Alexa made her error below. \( \begin{array}{l}\text { Alexa subtracted incorrectly } 5-3 x \\ \text { should be } 2 \mathrm{x}\end{array} \) \( \begin{array}{l}\text { Alexa combined terms that are not } \\ \text { like terms. }\end{array} \) \( \begin{array}{l}\text { Alexa should have subtracted } 2 x\end{array} \) and 14 x

Let's simplify the expression \( 5 - 3x + 8 + 6x \) step by step and identify any errors made by Alexa. 1. **Combine like terms**: - The constant terms are \( 5 \) and \( 8 \). - The variable terms are \( -3x \) and \( 6x \). 2. **Calculate the constant terms**: \[ 5 + 8 = 13 \] 3. **Calculate the variable terms**: \[ -3x + 6x = 3x \] 4. **Combine the results**: \[ 13 + 3x \] Now, let's analyze Alexa's statements: - **First statement**: "Alexa subtracted incorrectly \( 5 - 3x \) should be \( 2x \)". - This is incorrect because \( 5 - 3x \) does not equal \( 2x \). The correct operation is to combine the constant terms and the variable terms separately. - **Second statement**: "Alexa combined terms that are not like terms." - This is also incorrect. The terms \( -3x \) and \( 6x \) are like terms and can be combined. - **Third statement**: "Alexa should have subtracted \( 2x \) and \( 14x \)". - This statement is incorrect as well. There is no subtraction involved in the original expression, and the correct combination of terms leads to \( 3x \), not \( 2x \) or \( 14x \). In conclusion, Alexa made errors in her understanding of combining like terms and in her calculations. The correct simplification of the expression is: \[ 5 - 3x + 8 + 6x = 13 + 3x \]