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Simplifying -5(x + -4) = 2x + -3[2x + -1(2x + 1)] + 4x Reorder the terms: -5(-4 + x) = 2x + -3[2x + -1(2x + 1)] + 4x (-4 * -5 + x * -5) = 2x + -3[2x + -1(2x + 1)] + 4x (20 + -5x) = 2x + -3[2x + -1(2x + 1)] + 4x Reorder the terms: 20 + -5x = 2x + -3[2x + -1(1 + 2x)] + 4x 20 + -5x = 2x + -3[2x + (1 * -1 + 2x * -1)] + 4x 20 + -5x = 2x + -3[2x + (-1 + -2x)] + 4x Reorder the terms: 20 + -5x = 2x + -3[-1 + 2x + -2x] + 4x Combine like terms: 2x + -2x = 0 20 + -5x = 2x + -3[-1 + 0] + 4x 20 + -5x = 2x + -3[-1] + 4x Multiply -3 * -1 20 + -5x = 2x + 3 + 4x Reorder the terms: 20 + -5x = 3 + 2x + 4x Combine like terms: 2x + 4x = 6x 20 + -5x = 3 + 6x Solving 20 + -5x = 3 + 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. 20 + -5x + -6x = 3 + 6x + -6x Combine like terms: -5x + -6x = -11x 20 + -11x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -11x = 3 + 0 20 + -11x = 3 Add '-20' to each side of the equation. 20 + -20 + -11x = 3 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = 3 + -20 -11x = 3 + -20 Combine like terms: 3 + -20 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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