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Simplifying -4(2x + 4) = 4x + -2 Reorder the terms: -4(4 + 2x) = 4x + -2 (4 * -4 + 2x * -4) = 4x + -2 (-16 + -8x) = 4x + -2 Reorder the terms: -16 + -8x = -2 + 4x Solving -16 + -8x = -2 + 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. -16 + -8x + -4x = -2 + 4x + -4x Combine like terms: -8x + -4x = -12x -16 + -12x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + -12x = -2 + 0 -16 + -12x = -2 Add '16' to each side of the equation. -16 + 16 + -12x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + -12x = -2 + 16 -12x = -2 + 16 Combine like terms: -2 + 16 = 14 -12x = 14 Divide each side by '-12'. x = -1.166666667 Simplifying x = -1.166666667
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