Problem

Solve the equation.
\[
6[1-(-5 x-5)]=240 x+246
\]

Answer

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Answer

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

Steps

Step 1 :First, distribute the 6 inside the brackets on the left side of the equation to get \(30x + 30 = 240x + 246\).

Step 2 :Next, move all terms involving x to one side of the equation and the constant terms to the other side to get \(210x = -216\).

Step 3 :Finally, solve for x by dividing both sides by 210 to get \(x = -1\).

Step 4 :Substitute x = -1 into the original equation to verify the solution. Both sides of the equation are equal, confirming that the solution is correct.

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

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