High School

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Select the correct answer.

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

A. [tex]x + 7 = 5; \ x = -2[/tex]

B. [tex]x + 7 = 12; \ x = 5[/tex]

C. [tex]x + 5 = 7; \ x = 2[/tex]

D. [tex]x = 5 + 7; \ x = 12[/tex]

Answer :

Let's examine and solve the given linear equation step-by-step to find the correct answer.

Consider the equation:
[tex]\[ x + 7 = 12 \][/tex]

To solve for [tex]\( x \)[/tex], we need to isolate the variable [tex]\( x \)[/tex]. Here's how we can do that step-by-step:

1. Understand the Equation:
The equation [tex]\( x + 7 = 12 \)[/tex] means that when 7 is added to [tex]\( x \)[/tex], the result is 12.

2. Isolate [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we need to get rid of the 7 on the left side. We can do this by subtracting 7 from both sides of the equation:
[tex]\[
x + 7 - 7 = 12 - 7
\][/tex]

3. Simplify:
Simplify both sides of the equation:
[tex]\[
x = 5
\][/tex]

Thus, the solution to the equation [tex]\( x + 7 = 12 \)[/tex] is:
[tex]\[ x = 5 \][/tex]

The correct answer is:
[tex]\[ x + 7 = 12 ; x = 5 \][/tex]

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