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