Questions: Quiz: Test 1 Linear Equations Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. 18 x + 9 + 10 x = 9 28 x + 9 = 9 28 x = 0 x = Divide both sides by 28

Quiz: Test 1 Linear Equations

Complete the process of solving the equation.
Fill in all missing terms and select all missing descriptions.

18 x + 9 + 10 x = 9
28 x + 9 = 9
28 x = 0
x =

Divide both sides by 28
Transcript text: Quiz: Test 1 Linear Equations Complete the process of solving the equation. Fill in all missing terms and select all missing descriptions. \[ \begin{array}{r} 18 x+9+10 x=9 \\ 28 x+9=9 \\ 28 x=0 \\ x= \end{array} \] Divide both sides by 28
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Solution

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Solution Steps

To solve the given linear equation, we need to simplify and isolate the variable \( x \). Start by combining like terms on the left side of the equation. Then, subtract any constants from both sides to further simplify. Finally, divide both sides by the coefficient of \( x \) to solve for \( x \).

Step 1: Combine Like Terms

Starting with the equation: \[ 18x + 9 + 10x = 9 \] we combine the coefficients of \( x \): \[ (18 + 10)x + 9 = 9 \] This simplifies to: \[ 28x + 9 = 9 \]

Step 2: Isolate the Variable

Next, we subtract 9 from both sides of the equation: \[ 28x + 9 - 9 = 9 - 9 \] This simplifies to: \[ 28x = 0 \]

Step 3: Solve for \( x \)

Now, we divide both sides by 28 to solve for \( x \): \[ x = \frac{0}{28} \] This results in: \[ x = 0.0 \]

Final Answer

\(\boxed{x = 0}\)

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