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Simplifying -2(2x + -4) = 12x + -8 Reorder the terms: -2(-4 + 2x) = 12x + -8 (-4 * -2 + 2x * -2) = 12x + -8 (8 + -4x) = 12x + -8 Reorder the terms: 8 + -4x = -8 + 12x Solving 8 + -4x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + -4x + -12x = -8 + 12x + -12x Combine like terms: -4x + -12x = -16x 8 + -16x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -16x = -8 + 0 8 + -16x = -8 Add '-8' to each side of the equation. 8 + -8 + -16x = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -16x = -8 + -8 -16x = -8 + -8 Combine like terms: -8 + -8 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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