Answer
$x=5$
Work Step by Step
$11(x-6)=-4-7$ $\longrightarrow$distributive property;simplify
$11x-66=-11$ $\longrightarrow$addition property
$11x-66+66=-11+66$ $\longrightarrow$simplify
$11x=55$ $\longrightarrow$multiplication property
$11x\div11=55\div11$ $\longrightarrow$simplify
$x=5$