Answer
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Step 1:I'll solve this algebraic simplification problem step by step:
Step 2:: Identify the terms
- First term: $$4x^{2}
- Second term: -x^{2}
Step 3:: Combine like terms
4x^{2} + (-x^{2}) = (4 - 1)x^{2}
Step 4:: Simplify the coefficient
4x^{2} - x^{2} = 3x^{2}
Final Answer
The solution involves recognizing that terms with the same variable and exponent can be combined by adding their coefficients. In this case, 4x^{2} and -x^{2} simplify to 3x^{2}.
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