To solve the equation \( 1.6x - 8.3 = 6.1 \), follow these steps:
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Add 8.3 to both sides to isolate the term with \( x \): \[ 1.6x - 8.3 + 8.3 = 6.1 + 8.3 \] This simplifies to: \[ 1.6x = 14.4 \]
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Divide both sides by 1.6 to solve for \( x \): \[ x = \frac{14.4}{1.6} \]
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Calculate the right side: \[ x = 9 \]
Thus, the solution is: \[ x = 9 \]