To solve the equation \( 11x - 9 = 7x - 9 \), follow these steps:
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First, get all the terms involving \( x \) on one side of the equation and the constant terms on the other side. You can do this by subtracting \( 7x \) from both sides:
\[ 11x - 7x - 9 = -9 \]
This simplifies to:
\[ 4x - 9 = -9 \]
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Next, add \( 9 \) to both sides to isolate the term with \( x \):
\[ 4x - 9 + 9 = -9 + 9 \]
This simplifies to:
\[ 4x = 0 \]
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Finally, divide both sides by \( 4 \):
\[ x = 0 \]
So, the solution to the equation \( 11x - 9 = 7x - 9 \) is \( x = 0 \).