Sure, let's simplify the expression step-by-step.
Given expression:
[tex]\[ 4(1 - 3x) + 7x - 8 \][/tex]
1. Distribute the 4 through the expression inside the parentheses:
[tex]\[ 4 \cdot 1 - 4 \cdot 3x = 4 - 12x \][/tex]
So, now the expression is:
[tex]\[ 4 - 12x + 7x - 8 \][/tex]
2. Combine like terms:
- Combine the [tex]\( x \)[/tex] terms: [tex]\( -12x + 7x \)[/tex]
[tex]\[ -12x + 7x = -5x \][/tex]
- Combine the constant terms: [tex]\( 4 - 8 \)[/tex]
[tex]\[ 4 - 8 = -4 \][/tex]
Now the expression becomes:
[tex]\[ -5x - 4 \][/tex]
So, the simplified expression is:
[tex]\[ -5x - 4 \][/tex]
