To solve the equation \( 7x - 9 = 3x - 5 \), follow these steps:
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Isolate the variable terms: First, let's get all \( x \) terms on one side of the equation by subtracting \( 3x \) from both sides:
\[ 7x - 3x - 9 = -5 \]
This simplifies to:
\[ 4x - 9 = -5 \]
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Isolate the constant term: Next, add \( 9 \) to both sides to get rid of the constant on the left side:
\[ 4x - 9 + 9 = -5 + 9 \]
Simplifying gives:
\[ 4x = 4 \]
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Solve for \( x \): Now divide both sides by \( 4 \):
\[ x = 1 \]
Thus, the solution to the equation \( 7x - 9 = 3x - 5 \) is \( x = 1 \).