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La solución de la ecuación \( (x-4)+9 \cdot(x-1)=49 \) es \( x = 6.2 \).
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To solve the equation \( (x-4)+9 \cdot(x-1)=49 \), first simplify it. Start by distributing the 9: \[ (x - 4) + 9x - 9 = 49 \] Now combine like terms: \[ x + 9x - 4 - 9 = 49 \] This simplifies to: \[ 10x - 13 = 49 \] Next, add 13 to both sides: \[ 10x = 49 + 13 \] \[ 10x = 62 \] Now, divide both sides by 10: \[ x = \frac{62}{10} = 6.2 \] Thus, the solution is \( x = 6.2 \).