Question 233023
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I presume you mean:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ -\ 7\ =\ 7]


Add 7 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ =\ 14]


Apply the definition of absolute value:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ |x|\ =\ \left\{\ \ x\text{ if }x\ \geq\ 0\cr-x\text{ if }x\ <\ \,0\right]


Hence,


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 14\ \ ] or *[tex \LARGE \ \ x\ =\ -14]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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