To solve the expression \((75 \times 10 - 7) + (21 \times 10 - 8)\), we can break it down step by step.
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Calculate \(75 \times 10 - 7\): \[ 75 \times 10 = 750 \] \[ 750 - 7 = 743 \]
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Calculate \(21 \times 10 - 8\): \[ 21 \times 10 = 210 \] \[ 210 - 8 = 202 \]
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Now add the two results: \[ 743 + 202 = 945 \]
So, the final result is: \[ \boxed{945} \]