Sure, let's solve the equation step-by-step:
1. Original Equation:
[tex]\[
9(x + 1) = 18
\][/tex]
2. Distribute the 9 on the left side:
[tex]\[
9 \cdot x + 9 \cdot 1 = 18
\][/tex]
[tex]\[
9x + 9 = 18
\][/tex]
3. Isolate the term with the variable [tex]\(x\)[/tex]:
To do this, subtract 9 from both sides of the equation:
[tex]\[
9x + 9 - 9 = 18 - 9
\][/tex]
Simplifying both sides, we get:
[tex]\[
9x = 9
\][/tex]
4. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by 9 to isolate [tex]\(x\)[/tex]:
[tex]\[
\frac{9x}{9} = \frac{9}{9}
\][/tex]
Simplifying, we get:
[tex]\[
x = 1
\][/tex]
Thus, the solution to the equation [tex]\(9(x + 1) = 18\)[/tex] is:
[tex]\[
x = 1
\][/tex]
