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Simplifying -5(x + 3 + -4) + -1(2 + -1)(3x + 2) = 3x + -2 Reorder the terms: -5(3 + -4 + x) + -1(2 + -1)(3x + 2) = 3x + -2 Combine like terms: 3 + -4 = -1 -5(-1 + x) + -1(2 + -1)(3x + 2) = 3x + -2 (-1 * -5 + x * -5) + -1(2 + -1)(3x + 2) = 3x + -2 (5 + -5x) + -1(2 + -1)(3x + 2) = 3x + -2 Combine like terms: 2 + -1 = 1 5 + -5x + -1(1)(3x + 2) = 3x + -2 Reorder the terms: 5 + -5x + -1 * 1(2 + 3x) = 3x + -2 Multiply -1 * 1 5 + -5x + -1(2 + 3x) = 3x + -2 5 + -5x + (2 * -1 + 3x * -1) = 3x + -2 5 + -5x + (-2 + -3x) = 3x + -2 Reorder the terms: 5 + -2 + -5x + -3x = 3x + -2 Combine like terms: 5 + -2 = 3 3 + -5x + -3x = 3x + -2 Combine like terms: -5x + -3x = -8x 3 + -8x = 3x + -2 Reorder the terms: 3 + -8x = -2 + 3x Solving 3 + -8x = -2 + 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. 3 + -8x + -3x = -2 + 3x + -3x Combine like terms: -8x + -3x = -11x 3 + -11x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -11x = -2 + 0 3 + -11x = -2 Add '-3' to each side of the equation. 3 + -3 + -11x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = -2 + -3 -11x = -2 + -3 Combine like terms: -2 + -3 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545
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