Let's simplify the expression step by step:
Given expression:
[tex]\[ 3ax - 2bx - 2bx - 6a + 3ay + 4b \][/tex]
1. Combine like terms with [tex]\(x\)[/tex]:
[tex]\[ 3ax - 2bx - 2bx = 3ax - 4bx \][/tex]
This combines the [tex]\(x\)[/tex]-terms together.
2. Combine the remaining terms:
The remaining terms are [tex]\(-6a + 3ay + 4b\)[/tex].
So now we have:
[tex]\[ 3ax - 4bx - 6a + 3ay + 4b \][/tex]
3. Rearrange the terms:
Let's write all terms in an ordered manner:
[tex]\[ 3ax + 3ay - 6a - 4bx + 4b \][/tex]
So, the fully simplified expression is:
[tex]\[ 3ax + 3ay - 6a - 4bx + 4b \][/tex]
This is our final simplified form.