Certainly! Let's walk through the solution step-by-step.
Given the equation:
[tex]\[ 7(x - 3) = 28 \][/tex]
First, we use the distributive property to expand the equation:
[tex]\[ 7x - 21 = 28 \][/tex]
Next, we apply the addition property of equality, which means we add the same number to both sides of the equation to keep it balanced. Here, we'll add 21 to both sides:
[tex]\[ 7x - 21 + 21 = 28 + 21 \][/tex]
[tex]\[ 7x = 49 \][/tex]
Now, we use the division property of equality. We divide both sides of the equation by 7 to isolate [tex]\( x \)[/tex]:
[tex]\[ 7x / 7 = 49 / 7 \][/tex]
[tex]\[ x = 7 \][/tex]
Thus, the value of [tex]\( x \)[/tex] is:
[tex]\[ \boxed{7} \][/tex]
Among the given choices:
- 7
- 9
- 42
- 56
The correct answer is [tex]\( 7 \)[/tex].
