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QuestionMathematics

Combine like terms: 8−2x+ 5x
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the like terms

- Terms with variable $$x$$: $$-2x$$ and $$5x
- A constant term: 8

Step 3:
: Combine like terms

-2x + 5x = ((-2) + 5)
Like terms are terms that have the same variable raised to the same power. To combine these terms, add their coefficients: x = 3x

Step 4:
: Rewrite the simplified expression

8 - 2x + 5x = 8 + 3x
Now we can rewrite the original expression with the combined like terms:

Final Answer

The key steps were identifying like terms (the x terms) and combining their coefficients while keeping the constant term unchanged.