4(2-2x)+7(x+1)=-16

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Solution for 4(2-2x)+7(x+1)=-16 equation: 


Simplifying
4(2 + -2x) + 7(x + 1) = -16
(2 * 4 + -2x * 4) + 7(x + 1) = -16
(8 + -8x) + 7(x + 1) = -16

Reorder the terms:
8 + -8x + 7(1 + x) = -16
8 + -8x + (1 * 7 + x * 7) = -16
8 + -8x + (7 + 7x) = -16

Reorder the terms:
8 + 7 + -8x + 7x = -16

Combine like terms: 8 + 7 = 15
15 + -8x + 7x = -16

Combine like terms: -8x + 7x = -1x
15 + -1x = -16

Solving
15 + -1x = -16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.
15 + -15 + -1x = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = -16 + -15
-1x = -16 + -15

Combine like terms: -16 + -15 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31

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