Solve for X.
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[tex]-2(7-4x)=\dfrac{1}{2}(4+16x)\qquad\text{use distributive property}\\\\(-2)(7)+(-2)(-4x)=\left(\dfrac{1}{2}\right)(4)+\left(\dfrac{1}{2}\right)(16x)\\\\-14+8x=2+8x\qquad\text{subtract 8x from both sides}\\\\-14=2\qquad FALSE!!!\\\\Answer:\ \boxed{no\ solution}[/tex]