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Simplifying -4(2 + -2x) = 4(4x + -4) (2 * -4 + -2x * -4) = 4(4x + -4) (-8 + 8x) = 4(4x + -4) Reorder the terms: -8 + 8x = 4(-4 + 4x) -8 + 8x = (-4 * 4 + 4x * 4) -8 + 8x = (-16 + 16x) Solving -8 + 8x = -16 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -8 + 8x + -16x = -16 + 16x + -16x Combine like terms: 8x + -16x = -8x -8 + -8x = -16 + 16x + -16x Combine like terms: 16x + -16x = 0 -8 + -8x = -16 + 0 -8 + -8x = -16 Add '8' to each side of the equation. -8 + 8 + -8x = -16 + 8 Combine like terms: -8 + 8 = 0 0 + -8x = -16 + 8 -8x = -16 + 8 Combine like terms: -16 + 8 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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