Question

simplify: $-6(1 - 2x) + 8(5 - 7x)$
a. $13x + 53$
b. $43 - 44x$
c. $34 - 44x$
d. $13x + 51$
reset selection

Explanation:

Step1: Distribute the coefficients

First, we distribute -6 into (1 - 2x) and 8 into (5 - 7x).
For -6(1 - 2x), we get: $-6\times1 + (-6)\times(-2x) = -6 + 12x$
For 8(5 - 7x), we get: $8\times5 + 8\times(-7x) = 40 - 56x$

Step2: Combine like terms

Now we add the two results together: $(-6 + 12x) + (40 - 56x)$
Combine the constant terms: $-6 + 40 = 34$
Combine the x terms: $12x - 56x = -44x$
So the simplified form is $34 - 44x$

Answer:

C. $34 - 44x$