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Simplifying -4(2x + -1) = 3(x + 2) Reorder the terms: -4(-1 + 2x) = 3(x + 2) (-1 * -4 + 2x * -4) = 3(x + 2) (4 + -8x) = 3(x + 2) Reorder the terms: 4 + -8x = 3(2 + x) 4 + -8x = (2 * 3 + x * 3) 4 + -8x = (6 + 3x) Solving 4 + -8x = 6 + 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 = 6 + 3x + -3x Combine like terms: -8x + -3x = -11x 4 + -11x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -11x = 6 + 0 4 + -11x = 6 Add '-4' to each side of the equation. 4 + -4 + -11x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 6 + -4 -11x = 6 + -4 Combine like terms: 6 + -4 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818
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