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Simplifying 2(1 + -4x) = -2(6x + 9) (1 * 2 + -4x * 2) = -2(6x + 9) (2 + -8x) = -2(6x + 9) Reorder the terms: 2 + -8x = -2(9 + 6x) 2 + -8x = (9 * -2 + 6x * -2) 2 + -8x = (-18 + -12x) Solving 2 + -8x = -18 + -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 + -8x + 12x = -18 + -12x + 12x Combine like terms: -8x + 12x = 4x 2 + 4x = -18 + -12x + 12x Combine like terms: -12x + 12x = 0 2 + 4x = -18 + 0 2 + 4x = -18 Add '-2' to each side of the equation. 2 + -2 + 4x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = -18 + -2 4x = -18 + -2 Combine like terms: -18 + -2 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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