To solve the equation \(-4 - 3x = 17\), we can isolate \(x\):
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Add 4 to both sides: \[ -3x = 17 + 4 \] \[ -3x = 21 \]
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Divide both sides by -3: \[ x = \frac{21}{-3} \] \[ x = -7 \]
The solution to the equation is \(x = -7\). The response options you provided do not indicate a specific question, but if you were asking whether \(-4 - 3(-7) = 17\) holds true:
\[ -4 - 3(-7) = -4 + 21 = 17 \]
So that statement is true.
However, as your choices are limited to "NO" and "YES," without more context, I cannot definitively choose an answer based solely on the options provided. If you are asking if the equation has a solution, then the answer is "YES." If you are asking if -7 is the correct solution, the answer is again "YES."
Please clarify if you have a specific question related to those responses!