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Simplifying 3x + 2 = 4(-1 + -2x) Reorder the terms: 2 + 3x = 4(-1 + -2x) 2 + 3x = (-1 * 4 + -2x * 4) 2 + 3x = (-4 + -8x) Solving 2 + 3x = -4 + -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 + 3x + 8x = -4 + -8x + 8x Combine like terms: 3x + 8x = 11x 2 + 11x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 11x = -4 + 0 2 + 11x = -4 Add '-2' to each side of the equation. 2 + -2 + 11x = -4 + -2 Combine like terms: 2 + -2 = 0 0 + 11x = -4 + -2 11x = -4 + -2 Combine like terms: -4 + -2 = -6 11x = -6 Divide each side by '11'. x = -0.5454545455 Simplifying x = -0.5454545455
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