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Simplifying
-5(1 + -5x) + 5(-8x + -2) = -4x + -8x
(1 * -5 + -5x * -5) + 5(-8x + -2) = -4x + -8x
(-5 + 25x) + 5(-8x + -2) = -4x + -8x

Reorder the terms:
-5 + 25x + 5(-2 + -8x) = -4x + -8x
-5 + 25x + (-2 * 5 + -8x * 5) = -4x + -8x
-5 + 25x + (-10 + -40x) = -4x + -8x

Reorder the terms:
-5 + -10 + 25x + -40x = -4x + -8x

Combine like terms: -5 + -10 = -15
-15 + 25x + -40x = -4x + -8x

Combine like terms: 25x + -40x = -15x
-15 + -15x = -4x + -8x

Combine like terms: -4x + -8x = -12x
-15 + -15x = -12x

Solving
-15 + -15x = -12x

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

Add '12x' to each side of the equation.
-15 + -15x + 12x = -12x + 12x

Combine like terms: -15x + 12x = -3x
-15 + -3x = -12x + 12x

Combine like terms: -12x + 12x = 0
-15 + -3x = 0

Add '15' to each side of the equation.
-15 + 15 + -3x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -3x = 0 + 15
-3x = 0 + 15

Combine like terms: 0 + 15 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5
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