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Simplifying 1 + -2[4 + -1(3x + -5)] = 3x + 1 Reorder the terms: 1 + -2[4 + -1(-5 + 3x)] = 3x + 1 1 + -2[4 + (-5 * -1 + 3x * -1)] = 3x + 1 1 + -2[4 + (5 + -3x)] = 3x + 1 Combine like terms: 4 + 5 = 9 1 + -2[9 + -3x] = 3x + 1 1 + [9 * -2 + -3x * -2] = 3x + 1 1 + [-18 + 6x] = 3x + 1 Combine like terms: 1 + -18 = -17 -17 + 6x = 3x + 1 Reorder the terms: -17 + 6x = 1 + 3x Solving -17 + 6x = 1 + 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. -17 + 6x + -3x = 1 + 3x + -3x Combine like terms: 6x + -3x = 3x -17 + 3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -17 + 3x = 1 + 0 -17 + 3x = 1 Add '17' to each side of the equation. -17 + 17 + 3x = 1 + 17 Combine like terms: -17 + 17 = 0 0 + 3x = 1 + 17 3x = 1 + 17 Combine like terms: 1 + 17 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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