To solve the equation \( 1.26(x - 7.352) = 6.426 \), follow these steps:
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First, divide both sides by 1.26 to isolate \( x - 7.352 \): \[ x - 7.352 = \frac{6.426}{1.26} \]
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Calculate the right side: \[ \frac{6.426}{1.26} = 5.1 \]
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Now, update the equation: \[ x - 7.352 = 5.1 \]
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Next, add \( 7.352 \) to both sides to solve for \( x \): \[ x = 5.1 + 7.352 \]
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Calculate the final result: \[ x = 12.452 \]
So, the solution to the equation is: \[ \boxed{12.452} \]