To solve the equation \( 17.8 + 13x - 16.44 = 106.66 \), we can follow these steps:
Combine like terms on the left side of the equation: \[ 17.8 - 16.44 = 1.36 \] So the equation simplifies to: \[ 1.36 + 13x = 106.66 \]
Subtract 1.36 from both sides: \[ 13x = 106.66 - 1.36 \] \[ 13x = 105.3 \]
Divide both sides by 13 to solve for \( x \): \[ x = \frac{105.3}{13} \] \[ x \approx 8.11538461538 \quad (\text{approximately } 8.12) \]
Thus, the solution to the equation is: \[ x \approx 8.12 \]
