To solve the equation \( 1.26(x - 7.352) = 6.426 \), follow these steps:
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Distribute \( 1.26 \): \[ 1.26x - 1.26 \times 7.352 = 6.426 \] First, calculate \( 1.26 \times 7.352 \): \[ 1.26 \times 7.352 \approx 9.26352 \] Thus, the equation becomes: \[ 1.26x - 9.26352 = 6.426 \]
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Add \( 9.26352 \) to both sides: \[ 1.26x = 6.426 + 9.26352 \] Calculate the right side: \[ 6.426 + 9.26352 \approx 15.68952 \] So, now we have: \[ 1.26x = 15.68952 \]
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Divide both sides by \( 1.26 \): \[ x = \frac{15.68952}{1.26} \] Calculate the division: \[ x \approx 12.454 \]
Thus, the solution to the equation is: \[ \boxed{12.454} \]