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-6-9=x-\left(-3\right)
Multiply both sides of the equation by 3.
-15=x-\left(-3\right)
Subtract 9 from -6 to get -15.
-15=x+3
The opposite of -3 is 3.
x+3=-15
Swap sides so that all variable terms are on the left hand side.
x=-15-3
Subtract 3 from both sides.
x=-18
Subtract 3 from -15 to get -18.