What is the value of x in the equation: 7(x + 4) = 49?

To find the value of ( x ) in the equation ( 7(x + 4) = 49 ), we start by dividing both sides of the equation by 7 to isolate the expression inside the parentheses. This simplifies the equation to:

[

x + 4 = \frac{49}{7}

]

Calculating the right side gives us:

[

x + 4 = 7

]

Next, we need to isolate ( x ) by subtracting 4 from both sides:

[

x = 7 - 4

]

This results in:

[

x = 3

]

Thus, the correct value of ( x ) is indeed 3. Understanding each step demonstrates the process of solving a linear equation, showing how to isolate variables and perform arithmetic operations. This is foundational in algebra and essential for solving various equations in future mathematical contexts.