To simplify the expression \(4b + 3c - 2b + 7c\), we can combine like terms.
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Combine the \(b\) terms: \[ 4b - 2b = 2b \]
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Combine the \(c\) terms: \[ 3c + 7c = 10c \]
Putting it all together: \[ 4b + 3c - 2b + 7c = 2b + 10c \]
Now, the simplified expression is \(2b + 10c\).
None of the provided answers seem to relate to the simplified expression \(2b + 10c\). However, if you are seeking to express it in the form of \(x\) and \(y\), you would need to clarify what \(x\) and \(y\) represent.
If we let:
- \(b = \frac{1}{2}x\)
- \(c = \frac{1}{10}y\)
Then \(2b + 10c\) becomes: \[ 2\left(\frac{1}{2}x\right) + 10\left(\frac{1}{10}y\right) = x + y \]
This does not seem to map onto any of your provided options directly either. Could you clarify your question or the relation to \(x\) and \(y\)?
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