Problem

Solve the equation.
\[
9[3-(-2 x-1)]=72 x+63
\]
The solution set is (Simplify your answer.)

Answer

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Answer

Final Answer: The solution to the equation is \(\boxed{-\frac{1}{2}}\).

Steps

Step 1 :Distribute the 9 on the left side of the equation to get \(18x + 27 = 72x + 63\).

Step 2 :Subtract 18x from both sides to get \(27 = 54x + 63\).

Step 3 :Subtract 63 from both sides to get \(-36 = 54x\).

Step 4 :Divide both sides by 54 to solve for x, which gives \(x = -\frac{2}{3}\).

Step 5 :Final Answer: The solution to the equation is \(\boxed{-\frac{1}{2}}\).

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