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Simplifying -2(4 + -4x) = -40 + 4x (4 * -2 + -4x * -2) = -40 + 4x (-8 + 8x) = -40 + 4x Solving -8 + 8x = -40 + 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. -8 + 8x + -4x = -40 + 4x + -4x Combine like terms: 8x + -4x = 4x -8 + 4x = -40 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 4x = -40 + 0 -8 + 4x = -40 Add '8' to each side of the equation. -8 + 8 + 4x = -40 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -40 + 8 4x = -40 + 8 Combine like terms: -40 + 8 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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