Given:
The equation is given as,
[tex]2(4x-1)=-26_{}[/tex]The objective is to find the value of x and evaluate 7x².
Explanation:
The value of x can be calculated as,
[tex]\begin{gathered} 2(4x-1)=-26 \\ 8x-2=-26 \\ 8x=-26+2 \\ 8x=-24 \\ x=\frac{-24}{8} \\ x=-3 \end{gathered}[/tex]To find 7x²:
The value of 7x² can be calculated as,
[tex]\begin{gathered} 7x^2=7\cdot x\cdot x \\ =7(-3)\cdot(-3) \\ =7(9) \\ =63 \end{gathered}[/tex]Hence, the value of x is -3 and the value of 7x² is 63.
