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Simplifying -2(-2 + -5x) = -4(x + -8) (-2 * -2 + -5x * -2) = -4(x + -8) (4 + 10x) = -4(x + -8) Reorder the terms: 4 + 10x = -4(-8 + x) 4 + 10x = (-8 * -4 + x * -4) 4 + 10x = (32 + -4x) Solving 4 + 10x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4 + 10x + 4x = 32 + -4x + 4x Combine like terms: 10x + 4x = 14x 4 + 14x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 14x = 32 + 0 4 + 14x = 32 Add '-4' to each side of the equation. 4 + -4 + 14x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 14x = 32 + -4 14x = 32 + -4 Combine like terms: 32 + -4 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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