To solve the equation \( 114x + 9 = 31 \), we will first isolate \( x \).
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Subtract 9 from both sides: \[ 114x = 31 - 9 \] \[ 114x = 22 \]
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Now, divide both sides by 114: \[ x = \frac{22}{114} \]
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Simplify the fraction: \[ x = \frac{11}{57} \]
Since \(\frac{11}{57}\) does not match any of the choices provided in the responses listed, let's double-check the calculations with the original equation:
- If the equation is indeed \(114x + 9 = 31\) (meaning 31 alone, not \(31(1)\)), then the original question appears to have created a misunderstanding.
If we take another approach and find the correct equation with the available answers, certainly \(x\) would equal some defined values of \(8, 22, -8\) or \(110\) under different circumstances.
However, since no specific equation can recast to be those values utilizing usual algebra, the responses provided do not suggest an efficient path.
Thus, without resolving the discrepancies, the original intention appears to suggest that values must be recalculated toward proper definition through interpretative means where neither evident solution aligns with conventional responsibilities described.
Ultimately from mere sheer evaluations, it appears that given responses may have broken beyond what \(x\) structurally could yield in this isolated form via computational inaccuracies or misinterpretations due to differing setups.
Final note: Ensure if you needed the all-multiplicative figure as inputs or realized from estimative totals of rational errors while converting in numerical representations.
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