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Simplifying 25x + -19 + -1[3 + -1(4x + -5)] = 3x + -1(6x + -5) Reorder the terms: 25x + -19 + -1[3 + -1(-5 + 4x)] = 3x + -1(6x + -5) 25x + -19 + -1[3 + (-5 * -1 + 4x * -1)] = 3x + -1(6x + -5) 25x + -19 + -1[3 + (5 + -4x)] = 3x + -1(6x + -5) Combine like terms: 3 + 5 = 8 25x + -19 + -1[8 + -4x] = 3x + -1(6x + -5) 25x + -19 + [8 * -1 + -4x * -1] = 3x + -1(6x + -5) 25x + -19 + [-8 + 4x] = 3x + -1(6x + -5) Reorder the terms: -19 + -8 + 25x + 4x = 3x + -1(6x + -5) Combine like terms: -19 + -8 = -27 -27 + 25x + 4x = 3x + -1(6x + -5) Combine like terms: 25x + 4x = 29x -27 + 29x = 3x + -1(6x + -5) Reorder the terms: -27 + 29x = 3x + -1(-5 + 6x) -27 + 29x = 3x + (-5 * -1 + 6x * -1) -27 + 29x = 3x + (5 + -6x) Reorder the terms: -27 + 29x = 5 + 3x + -6x Combine like terms: 3x + -6x = -3x -27 + 29x = 5 + -3x Solving -27 + 29x = 5 + -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. -27 + 29x + 3x = 5 + -3x + 3x Combine like terms: 29x + 3x = 32x -27 + 32x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 32x = 5 + 0 -27 + 32x = 5 Add '27' to each side of the equation. -27 + 27 + 32x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 32x = 5 + 27 32x = 5 + 27 Combine like terms: 5 + 27 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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