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Simplifying -6(4x + -2) = -2(3 + 6x) Reorder the terms: -6(-2 + 4x) = -2(3 + 6x) (-2 * -6 + 4x * -6) = -2(3 + 6x) (12 + -24x) = -2(3 + 6x) 12 + -24x = (3 * -2 + 6x * -2) 12 + -24x = (-6 + -12x) Solving 12 + -24x = -6 + -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. 12 + -24x + 12x = -6 + -12x + 12x Combine like terms: -24x + 12x = -12x 12 + -12x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + -12x = -6 + 0 12 + -12x = -6 Add '-12' to each side of the equation. 12 + -12 + -12x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -12x = -6 + -12 -12x = -6 + -12 Combine like terms: -6 + -12 = -18 -12x = -18 Divide each side by '-12'. x = 1.5 Simplifying x = 1.5
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