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Simplifying 2(1 + -2x) = 3(4x + 1) (1 * 2 + -2x * 2) = 3(4x + 1) (2 + -4x) = 3(4x + 1) Reorder the terms: 2 + -4x = 3(1 + 4x) 2 + -4x = (1 * 3 + 4x * 3) 2 + -4x = (3 + 12x) Solving 2 + -4x = 3 + 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 = 3 + 12x + -12x Combine like terms: -4x + -12x = -16x 2 + -16x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -16x = 3 + 0 2 + -16x = 3 Add '-2' to each side of the equation. 2 + -2 + -16x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = 3 + -2 -16x = 3 + -2 Combine like terms: 3 + -2 = 1 -16x = 1 Divide each side by '-16'. x = -0.0625 Simplifying x = -0.0625
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