$$\left. \begin{array} { l } { x } \\ { ( x + 2 ) + ( 2 x + 2 ) + 2 ( x + 1 ) + 2 x + 1 = 77 } \end{array} \right.$$
$y=10$
$$3x+2+2+2\left(x+1\right)+2x+1=77$$
$$3x+4+2\left(x+1\right)+2x+1=77$$
$$3x+4+2x+2+2x+1=77$$
$$5x+4+2+2x+1=77$$
$$5x+6+2x+1=77$$
$$7x+6+1=77$$
$$7x+7=77$$
$$7x=77-7$$
$$7x=70$$
$$x=\frac{70}{7}$$
$$x=10$$
$$y=10$$
$$x=10$$ $$y=10$$
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