Start with the equation: \[ -3x + 2c = -3 \]
Add \(3x\) to both sides: \[ 2c = 3x - 3 \]
Add 3 to both sides: \[ 3x = 2c + 3 \]
Divide both sides by 3: \[ x = \frac{2c + 3}{3} \]
\[ \boxed{x = \frac{2c}{3} + 1} \]
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