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Simplifying 19 + -1[13x + -1(22 + -7x) + 11] = 24x + -1[(45 + -4x) + (5x + -16)] 19 + -1[13x + (22 * -1 + -7x * -1) + 11] = 24x + -1[(45 + -4x) + (5x + -16)] 19 + -1[13x + (-22 + 7x) + 11] = 24x + -1[(45 + -4x) + (5x + -16)] Reorder the terms: 19 + -1[-22 + 11 + 13x + 7x] = 24x + -1[(45 + -4x) + (5x + -16)] Combine like terms: -22 + 11 = -11 19 + -1[-11 + 13x + 7x] = 24x + -1[(45 + -4x) + (5x + -16)] Combine like terms: 13x + 7x = 20x 19 + -1[-11 + 20x] = 24x + -1[(45 + -4x) + (5x + -16)] 19 + [-11 * -1 + 20x * -1] = 24x + -1[(45 + -4x) + (5x + -16)] 19 + [11 + -20x] = 24x + -1[(45 + -4x) + (5x + -16)] Combine like terms: 19 + 11 = 30 30 + -20x = 24x + -1[(45 + -4x) + (5x + -16)] Remove parenthesis around (45 + -4x) 30 + -20x = 24x + -1[45 + -4x + (5x + -16)] Reorder the terms: 30 + -20x = 24x + -1[45 + -4x + (-16 + 5x)] Remove parenthesis around (-16 + 5x) 30 + -20x = 24x + -1[45 + -4x + -16 + 5x] Reorder the terms: 30 + -20x = 24x + -1[45 + -16 + -4x + 5x] Combine like terms: 45 + -16 = 29 30 + -20x = 24x + -1[29 + -4x + 5x] Combine like terms: -4x + 5x = 1x 30 + -20x = 24x + -1[29 + 1x] 30 + -20x = 24x + [29 * -1 + 1x * -1] 30 + -20x = 24x + [-29 + -1x] Reorder the terms: 30 + -20x = -29 + 24x + -1x Combine like terms: 24x + -1x = 23x 30 + -20x = -29 + 23x Solving 30 + -20x = -29 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 30 + -20x + -23x = -29 + 23x + -23x Combine like terms: -20x + -23x = -43x 30 + -43x = -29 + 23x + -23x Combine like terms: 23x + -23x = 0 30 + -43x = -29 + 0 30 + -43x = -29 Add '-30' to each side of the equation. 30 + -30 + -43x = -29 + -30 Combine like terms: 30 + -30 = 0 0 + -43x = -29 + -30 -43x = -29 + -30 Combine like terms: -29 + -30 = -59 -43x = -59 Divide each side by '-43'. x = 1.372093023 Simplifying x = 1.372093023
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