To simplify the expression \( 5 \times {(300 - 95 \div 5) - [3 \times 17 - (8 - 2 \times 3)]} \), we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Let's break this down step by step.
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Calculate \( 95 \div 5 \): \[ 95 \div 5 = 19 \]
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Substitute this back into the expression: \[ 5 \times {(300 - 19) - [3 \times 17 - (8 - 2 \times 3)]} \]
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Now calculate \( 300 - 19 \): \[ 300 - 19 = 281 \]
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Now we have: \[ 5 \times {281 - [3 \times 17 - (8 - 2 \times 3)]} \]
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Next, calculate \( 2 \times 3 \): \[ 2 \times 3 = 6 \]
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Substitute this back into the bracket: \[ 8 - 6 = 2 \]
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Now calculate \( 3 \times 17 \): \[ 3 \times 17 = 51 \]
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Substitute this back into the expression: \[ 5 \times {281 - [51 - 2]} \]
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Calculate \( 51 - 2 \): \[ 51 - 2 = 49 \]
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Now substitute back: \[ 5 \times {281 - 49} \]
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Calculate \( 281 - 49 \): \[ 281 - 49 = 232 \]
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Finally, multiply by 5: \[ 5 \times 232 = 1160 \]
Therefore, the simplified expression is: \[ \boxed{1160} \]