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Question Write the equation that satisfies the parameters: three times the difference of a number and 10 equals the sum of 25 and that same number.(1 point) Responses 3x+10=25−x 3 x plus 10 is equal to 25 minus x 3(x−10)=25+x 3 times open paren x minus 10 close paren is equal to 25 plus x 3x−10=25+x 3 x minus 10 is equal to 25 plus x 3(x+10)=25−x

1 answer

To write the equation based on the parameters provided, let's break down the statement:

  • "three times the difference of a number and 10" can be expressed as \(3(x - 10)\).
  • "equals the sum of 25 and that same number" can be expressed as \(25 + x\).

Putting this together, we get the equation:

\[ 3(x - 10) = 25 + x \]

This matches the option:

3(x−10)=25+x

So the correct response is \(3(x−10)=25+x\).