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------------------------------------------------ Write an equation for the sentence: Seven more than a number is 15.

Equation: \( x + 7 = 15 \)

The sentence "Seven more than a number is 15" is translated into the equation 'x + 7 = 15.' Solving for 'x' involves subtracting 7 from both sides, resulting in 'x = 8.'

Explanation:

When writing an equation for the sentence "Seven more than a number is 15," we interpret this as a basic arithmetic relationship. To translate this sentence into a mathematical statement, we let a variable, often 'x', represent the unknown number. Then we express "seven more than a number" as 'x + 7.' The word "is" in the sentence indicates equality, so the complete equation reflecting the given sentence is:

In order to solve for 'x,' we will perform a subtraction operation, removing 7 from both sides of the equation to maintain algebraic balance. This will yield:

x + 7 - 7 = 15 - 7

Which simplifies to:

x = 8

The solution indicates that "the number" referred to in the sentence is 8.