Answer
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Step 1:I'll solve this algebraic simplification problem step by step, following the LaTeX formatting guidelines precisely.
Step 2:: Identify Like Terms
- Constant terms: $$-15$$ and $$10
- Terms with x: 5x and - 20x
Step 3:: Combine Like Terms
-15 + 10 = -5
First, combine the x terms: Then, combine the constant terms:
Step 4:: Rewrite the Simplified Expression
-15x - 5
Putting the simplified terms together:
Step 5:: Final Verification
Check that the new expression is equivalent to the original by ensuring all terms are accounted for and simplified.
Final Answer
Key Insights: - Combining like terms reduces the complexity of algebraic expressions - Always group terms with the same variable together - Simplify by adding/subtracting coefficients of like terms
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