Final answer:
The translation of the sentence 'the sum of a number and six is seven times the number' into a mathematical equation is x + 6 = 7x.
Step-by-step explanation:
The mathematical equation that represents the sentence 'the sum of a number and six is seven times the number' is x + 6 = 7x. In this equation, 'x' represents the unknown number. Here's how it translates from the sentence to the equation:
- 'The sum of a number and six' is translated as 'x + 6'.
- The term 'is' usually signifies an equal sign (=) in mathematical translation.
- 'Seven times the number' is translated as '7x'.
So, putting it all together, we get the equation x + 6 = 7x.
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