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Simplify this expression:
[tex]\[ 4(1-3x) + 7x - 8 \][/tex]

Sagot :

GinnyAnswer
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]
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