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Simplifying -1(4x + -2) = -6 + 12x Reorder the terms: -1(-2 + 4x) = -6 + 12x (-2 * -1 + 4x * -1) = -6 + 12x (2 + -4x) = -6 + 12x Solving 2 + -4x = -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. 2 + -4x + -12x = -6 + 12x + -12x Combine like terms: -4x + -12x = -16x 2 + -16x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -16x = -6 + 0 2 + -16x = -6 Add '-2' to each side of the equation. 2 + -2 + -16x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = -6 + -2 -16x = -6 + -2 Combine like terms: -6 + -2 = -8 -16x = -8 Divide each side by '-16'. x = 0.5 Simplifying x = 0.5
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