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Simplifying 4(1 + -2x) = 3 + -2(2 + -3x) (1 * 4 + -2x * 4) = 3 + -2(2 + -3x) (4 + -8x) = 3 + -2(2 + -3x) 4 + -8x = 3 + (2 * -2 + -3x * -2) 4 + -8x = 3 + (-4 + 6x) Combine like terms: 3 + -4 = -1 4 + -8x = -1 + 6x Solving 4 + -8x = -1 + 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. 4 + -8x + -6x = -1 + 6x + -6x Combine like terms: -8x + -6x = -14x 4 + -14x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -14x = -1 + 0 4 + -14x = -1 Add '-4' to each side of the equation. 4 + -4 + -14x = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -1 + -4 -14x = -1 + -4 Combine like terms: -1 + -4 = -5 -14x = -5 Divide each side by '-14'. x = 0.3571428571 Simplifying x = 0.3571428571
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