Question
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Collect like terms. \[ \begin{array}{l}9 x+8 x\end{array} \] \( 9 x+8 x=\square \) (Simplify your answer.)

Ask by Bob Pope. in the United States
Feb 25,2025

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Tutor-Verified Answer

Answer

9x + 8x = 17x

Solution

9x + 8x = 17x

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Beyond the Answer

Combining like terms is all about adding coefficients of the same variable. In your expression, \( 9x + 8x \), the coefficients are 9 and 8. So, when you add them together, you get \( 9 + 8 = 17 \). Thus, \( 9x + 8x = 17x \). Oh, and here’s a fun fact: like terms can really help simplify polynomials, making them easier to work with, whether you're graphing or solving equations. The more you practice, the quicker you'll recognize them! To avoid mistakes, remember to only combine terms with the same variable and exponent. It's a common pitfall to mistakenly add terms that look similar but actually represent different variables. Always double-check before finalizing your answer!

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