Sure, let's simplify the given expression step-by-step.
The given expression is:
[tex]\[ x + 3x - 8 + 2 - 12x - 6 \][/tex]
1. Combine like terms involving [tex]\( x \)[/tex]:
[tex]\[ x + 3x - 12x \][/tex]
Adding these together:
[tex]\[ (1 + 3 - 12)x = -8x \][/tex]
2. Combine the constant terms:
[tex]\[ -8 + 2 - 6 \][/tex]
Adding these constants together:
[tex]\[ -8 + 2 = -6 \][/tex]
[tex]\[ -6 - 6 = -12 \][/tex]
3. Combine the results from steps 1 and 2:
[tex]\[ -8x - 12 \][/tex]
Thus, the simplified form of the given expression is:
[tex]\[ -8x - 12 \][/tex]
