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Simplifying 2(1 + -2x) = 2(4x + 3) (1 * 2 + -2x * 2) = 2(4x + 3) (2 + -4x) = 2(4x + 3) Reorder the terms: 2 + -4x = 2(3 + 4x) 2 + -4x = (3 * 2 + 4x * 2) 2 + -4x = (6 + 8x) Solving 2 + -4x = 6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 2 + -4x + -8x = 6 + 8x + -8x Combine like terms: -4x + -8x = -12x 2 + -12x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 2 + -12x = 6 + 0 2 + -12x = 6 Add '-2' to each side of the equation. 2 + -2 + -12x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 6 + -2 -12x = 6 + -2 Combine like terms: 6 + -2 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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