To solve the equation \( 6x + 7 = 3x + 2 \), we can start by isolating the variable \( x \).
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Subtract \( 3x \) from both sides of the equation: \[ 6x - 3x + 7 = 2 \] This simplifies to: \[ 3x + 7 = 2 \]
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Next, subtract 7 from both sides: \[ 3x + 7 - 7 = 2 - 7 \] This simplifies to: \[ 3x = -5 \]
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Now, divide both sides by 3: \[ x = \frac{-5}{3} \]
The solution is: \[ x = -\frac{5}{3} \]