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Simplifying -2(1 + -4x) = 6x + 12 (1 * -2 + -4x * -2) = 6x + 12 (-2 + 8x) = 6x + 12 Reorder the terms: -2 + 8x = 12 + 6x Solving -2 + 8x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = 12 + 0 -2 + 2x = 12 Add '2' to each side of the equation. -2 + 2 + 2x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 12 + 2 2x = 12 + 2 Combine like terms: 12 + 2 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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