Sure, let's simplify the given equation step-by-step.
The equation you provided is:
[tex]\[ 9x - 2 - 3x + 12 \][/tex]
### Step 1: Identify and combine like terms
First, we need to combine the terms that contain the variable [tex]\( x \)[/tex]. These terms are:
[tex]\[ 9x \text{ and } -3x \][/tex]
When we combine these like terms:
[tex]\[ 9x - 3x = 6x \][/tex]
### Step 2: Combine the constant terms
Next, we combine the constant terms, which are the numbers that do not contain the variable [tex]\( x \)[/tex]. These constants are:
[tex]\[ -2 \text{ and } 12 \][/tex]
When we combine these constants:
[tex]\[ -2 + 12 = 10 \][/tex]
### Step 3: Write the simplified equation
Now, we substitute the simplified terms back into the equation:
[tex]\[ 9x - 3x - 2 + 12 \][/tex]
This simplifies to:
[tex]\[ 6x + 10 \][/tex]
So, the simplified equation is:
[tex]\[ 9x - 2 - 3x + 12 = 6x + 10 \][/tex]
Therefore, the result is:
[tex]\[ 6x + 10 \][/tex]
