To solve the equation \( 1.26(x - 7.352) = 6.426 \) for \( x \), follow these steps:
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Divide both sides by 1.26 to isolate the term with \( x \): \[ x - 7.352 = \frac{6.426}{1.26} \] Calculate the right side: \[ \frac{6.426}{1.26} \approx 5.1 \]
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Add 7.352 to both sides: \[ x = 5.1 + 7.352 \] Calculate the sum: \[ x = 12.452 \]
Thus, the solution to the equation is \( \boxed{12.452} \).