[tex]\mathbb P(|X+7|\le x)=\mathbb P\left(\left|\dfrac{X+7}{14}\right|\le\dfrac x{14}\right)[/tex]
[tex]=\mathbb P\left(|Z|\le\dfrac x{14}\right)=0.44[/tex]
[tex]\implies\mathbb P\left(-7\le Z\le\dfrac x{14}\right)=0.22[/tex]
[tex]\implies\mathbb P\left(Z\le\dfrac x{14}\right)=0.5+0.22=0.72[/tex]
[tex]\implies\dfrac x{14}\approx0.5828[/tex]
[tex]\implies x\approx8.1598[/tex]
