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Simplifying 4(1 + -2x) = 3x + 1 (1 * 4 + -2x * 4) = 3x + 1 (4 + -8x) = 3x + 1 Reorder the terms: 4 + -8x = 1 + 3x Solving 4 + -8x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + -8x + -3x = 1 + 3x + -3x Combine like terms: -8x + -3x = -11x 4 + -11x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -11x = 1 + 0 4 + -11x = 1 Add '-4' to each side of the equation. 4 + -4 + -11x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 1 + -4 -11x = 1 + -4 Combine like terms: 1 + -4 = -3 -11x = -3 Divide each side by '-11'. x = 0.2727272727 Simplifying x = 0.2727272727
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