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Simplifying -12(x + -2) = 4(x + 6) Reorder the terms: -12(-2 + x) = 4(x + 6) (-2 * -12 + x * -12) = 4(x + 6) (24 + -12x) = 4(x + 6) Reorder the terms: 24 + -12x = 4(6 + x) 24 + -12x = (6 * 4 + x * 4) 24 + -12x = (24 + 4x) Add '-24' to each side of the equation. 24 + -24 + -12x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 0 + -12x = 24 + -24 + 4x -12x = 24 + -24 + 4x Combine like terms: 24 + -24 = 0 -12x = 0 + 4x -12x = 4x Solving -12x = 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. -12x + -4x = 4x + -4x Combine like terms: -12x + -4x = -16x -16x = 4x + -4x Combine like terms: 4x + -4x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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