To solve the equation \( 63:9 + (x - 47) \cdot 6 = 49 \), we will first simplify it step by step.
Calculate \( 63:9 \): \[ 63:9 = 7 \] So the equation can be rewritten as: \[ 7 + (x - 47) \cdot 6 = 49 \]
Subtract 7 from both sides: \[ (x - 47) \cdot 6 = 49 - 7 \] \[ (x - 47) \cdot 6 = 42 \]
Divide both sides by 6: \[ x - 47 = \frac{42}{6} \] \[ x - 47 = 7 \]
Finally, add 47 to both sides: \[ x = 7 + 47 \] \[ x = 54 \]
So, the solution is: \[ \boxed{54} \]
