Solve the system of linear equations for variable x: 9) \[ \begin{array}{l} 4 x+6 y=-14 \\ -4 x-2 y=26 \end{array} \]

Step 1 ：The system of equations is linear and has two variables, x and y. To solve for x, we can use the method of substitution or elimination.

Step 2 ：In this case, the coefficients of x in both equations are opposites of each other, so we can use the method of elimination.

Step 3 ：By adding the two equations together, the x terms will cancel out, leaving us with an equation in terms of y.

Step 4 ：We can then solve this equation for y. Once we have the value of y, we can substitute it back into one of the original equations to solve for x.

Step 5 ：The solution for x in the given system of linear equations is \(\boxed{-8}\).