Answer:
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Step-by-step explanation:
For all real numbers a,b, and c, the distributive property states that:
[tex]a(b + c) = ab + ac[/tex]
For Part A, we have
[tex]2x + 10x = x(2 + 10) = x(12) = 12x[/tex]
Or
[tex]2x + 10x = 2x(1 + 5) = 2x(6) = 12x[/tex]
For Part B, we have
-4(3x-10)+5(2-6x)=-4*3x--4*10+5*2-5*6x
This simplifies to:
-4(3x-10)+5(2-6x)=-12x+40+10-30x
-4(3x-10)+5(2-6x)=-12x-30x+40+10
-4(3x-10)+5(2-6x)=-42x+50
For the C part, we have:
[tex]2(x - 4) + x = 2 \times x - 2 \times 4 + x[/tex]
[tex]2(x - 4) + x = 2x - 8+ x[/tex]
[tex]2(x - 4) + x = 3x - 8[/tex]
For Part D, we have:
[tex]-3-7(3-4x)+8x = - 3 - 7 \times 3 - 7 \times - 4x + 8x[/tex]
We simplify to get:
[tex]-3-7(3-4x)+8x = - 24+28x + 8x[/tex]
Simplify further to get:
[tex]-3-7(3-4x)+8x =-24+36x[/tex]
