To solve the equation \( 7x - 9 = 3x - 5 \), follow these steps:
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First, get all the \( x \) terms on one side of the equation. Subtract \( 3x \) from both sides:
\[ 7x - 3x - 9 = -5 \]
This simplifies to:
\[ 4x - 9 = -5 \]
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Next, isolate the term with \( x \) by adding 9 to both sides:
\[ 4x - 9 + 9 = -5 + 9 \]
This simplifies to:
\[ 4x = 4 \]
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Finally, divide by 4 to solve for \( x \):
\[ x = \frac{4}{4} \]
Thus, we have:
\[ x = 1 \]
So, the solution is \( x = 1 \).