The sentence "The sum of a number and six is seven times the number" can be translated into an equation as follows:

Let the unknown number be $x$.

• "The sum of a number and six" translates to $x + 6$.
• "is" translates to an equal sign $=$.
• "seven times the number" translates to $7x$.

So, the equation is:

$x + 6 = 7x$

Would you like details on how to solve this equation or have any other questions?

Here are some related questions:

1. How do you solve the equation $x + 6 = 7x$?
2. What does it mean to translate a word problem into an equation?
3. Can you explain how to identify key phrases in word problems for translation into equations?
4. How would you set up an equation for "Five less than a number is twice the number"?
5. How can this method be applied to more complex word problems?

Tip: When translating word problems into equations, look for keywords like "sum," "difference," "product," and "quotient" to guide your equation setup.