Answer
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Step 1:I'll solve this problem step by step following the specified LaTeX formatting guidelines:
Step 2:: Simplify the algebraic expression
• We have the expression $$\frac{4x}{x}
• To simplify this, we need to divide the numerator by the denominator
Step 3:: Cancellation of common factor
• $$\frac{4x}{x} = 4
• We can cancel out x if x \neq 0
Step 4:: Domain consideration
• The expression is undefined when $$x = 0$$ (division by zero is undefined)
• For all other real numbers, the result is 4
Final Answer
Key Insights: - When dividing algebraic terms with the same variable, cancel the common factor - Always check for domain restrictions (in this case, x \neq 0)
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