Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify Like Terms
In this expression, we have two terms with the variable $$x$$ ($$10x$$ and $$-8x$$) and two constant terms ($$2$$ and $$10$$).
We can simplify by combining like terms.
Step 3:: Combine Like Terms with x
First, combine the terms with $$x$$:
10x - 8x = 2x
Step 4:: Combine Constant Terms
2 + 10 = 12
Next, combine the constant terms:
Step 5:: Write the Simplified Expression
2x + 12
Now we can write the simplified expression by combining the results from steps 2 and 3:
Final Answer
Key Insights: - Like terms are terms with the same variable raised to the same power - Combining like terms simplifies algebraic expressions - The process involves adding or subtracting the coefficients of like terms
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