Let's analyze the equation based on the information provided in the question.
The equation represents the following terms:
- "4 x tiles" can be considered as \(4x\).
- "2 negative 1 tiles" is the same as \(-2\).
- "2 x tiles" is \(2x\).
- "4 1 tiles" is simply \(4\).
Based on this interpretation, we can express the equation as:
\[ 4x - 2 = 2x + 4 \]
Now, let's rearrange this equation to see if it matches any of the options:
Starting from \(4x - 2 = 2x + 4\):
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Add \(2\) on both sides: \[ 4x = 2x + 6 \]
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Subtract \(2x\) from both sides: \[ 2x = 6 \]
This equation doesn't exactly mirror any of the given options, but if we rewrite the original equation \(4x - 2 = 2x + 4\) in the option forms given, we can see that:
- We can rearrange \(4x - 2 = 2x + 4\) to get to \(4x - 2x = 4 + 2\), which simplifies to \(2x + 2 = 6\).
None of the options provided precisely match this rearrangement. However, if we look at the second option:
\(4x + (negative 2) = negative 2x + 6\)
Which can be simplified to:
\[ 4x - 2 = -2x + 6 \]
This does capture the structure of \(4x - 2\). Therefore, the equation modeled is best represented by this option:
Answer: \(4x + (negative 2) = negative 2x + 6\).
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