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Sagot :
Let the unknown number be x
Eleven more than four times the number is expressed as:
[tex]4x+11[/tex]The difference between -21 and four times the number is expressed as:
[tex]-21-4x[/tex]Combing the above expressions together, to solve for x will give us:
[tex]\begin{gathered} 4x+11=-21-4x \\ \text{Collect like terms:} \\ 4x+4x=-21-11 \end{gathered}[/tex]Simplifying further, we will have:
[tex]\begin{gathered} 8x=-32 \\ \frac{8x}{8}=\frac{-32}{8} \\ x=-4 \end{gathered}[/tex]The number, therefore, is -4
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