To solve the equation \( 3x - 5 = -3x + 7 \), we will isolate \( x \) first and then determine the value of \( k \).
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Start by adding \( 3x \) to both sides:
\[ 3x + 3x - 5 = 7 \]
This simplifies to:
\[ 6x - 5 = 7 \]
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Next, add \( 5 \) to both sides to isolate the term with \( x \):
\[ 6x = 7 + 5 \]
This simplifies to:
\[ 6x = 12 \]
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Now, divide both sides by \( 6 \):
\[ x = \frac{12}{6} \]
This simplifies to:
\[ x = 2 \]
The solution \( x = 2 \) is found, but you asked for a value of \( k \). If the goal is to express the solution in terms of a specific value linked with \( k \), we may relate \( k \) to the solution we just found.
If \( k = 2 \), then we make a condition that satisfies the equation with \( k \): \[ x = k \Rightarrow k = 2. \]
Thus, the value of \( k \) that would make the solution \( 3x - 5 = -3x + 7 \) true is: \[ \boxed{2}. \]
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