Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
The goal is to find three different algebraic expressions that are mathematically equivalent to $$3x$$.
Step 3:: First Equivalent Expression
One way to create an equivalent expression is to multiply $$3x$$ by $$\frac{1}{1}$$:
3x \cdot \frac{1}{1} = 3x
Step 4:: Second Equivalent Expression
1 \cdot 3x = 3x
Another equivalent expression can be created by distributing:
Step 5:: Third Equivalent Expression
(2 + 1)x = 3x
A third equivalent expression can be written using the distributive property:
Final Answer
1. 3x \cdot \frac{1}{1} 2. 1 \cdot 3x 3. (2 + 1)x Each of these expressions simplifies to 3x when evaluated.
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