$$\left. \begin{array} { l } { 4 ( 7 a + c + 6 a ) = 4 4 x + 6 x + 6 y = 4 x + 6 y } \\ { x + 4 x + 6 x + 6 x + 6 x + 6 x + 6 x + 6 y = 4 x } \\ { \text { f i s t \right.$$
Solve for x
$x=\frac{26a+2c-3y}{11}$
Steps for Solving Linear Equation
Combine $7a$ and $6a$ to get $13a$.
$$4\left(13a+c\right)=4\times 4x+6x+6y$$
Use the distributive property to multiply $4$ by $13a+c$.
$$52a+4c=4\times 4x+6x+6y$$
Multiply $4$ and $4$ to get $16$.
$$52a+4c=16x+6x+6y$$
Combine $16x$ and $6x$ to get $22x$.
$$52a+4c=22x+6y$$
Swap sides so that all variable terms are on the left hand side.
$$22x+6y=52a+4c$$
Subtract $6y$ from both sides.
$$22x=52a+4c-6y$$
Divide both sides by $22$.
$$\frac{22x}{22}=\frac{52a+4c-6y}{22}$$
Dividing by $22$ undoes the multiplication by $22$.