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Simplifying -3[-2 + -1(3x + 17)] = -20x + -1 Reorder the terms: -3[-2 + -1(17 + 3x)] = -20x + -1 -3[-2 + (17 * -1 + 3x * -1)] = -20x + -1 -3[-2 + (-17 + -3x)] = -20x + -1 Combine like terms: -2 + -17 = -19 -3[-19 + -3x] = -20x + -1 [-19 * -3 + -3x * -3] = -20x + -1 [57 + 9x] = -20x + -1 Reorder the terms: 57 + 9x = -1 + -20x Solving 57 + 9x = -1 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 57 + 9x + 20x = -1 + -20x + 20x Combine like terms: 9x + 20x = 29x 57 + 29x = -1 + -20x + 20x Combine like terms: -20x + 20x = 0 57 + 29x = -1 + 0 57 + 29x = -1 Add '-57' to each side of the equation. 57 + -57 + 29x = -1 + -57 Combine like terms: 57 + -57 = 0 0 + 29x = -1 + -57 29x = -1 + -57 Combine like terms: -1 + -57 = -58 29x = -58 Divide each side by '29'. x = -2 Simplifying x = -2
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