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Simplifying 5x + -1[4x + -3(2 + -7x)] = 3x + -1(11 + -2x) 5x + -1[4x + (2 * -3 + -7x * -3)] = 3x + -1(11 + -2x) 5x + -1[4x + (-6 + 21x)] = 3x + -1(11 + -2x) Reorder the terms: 5x + -1[-6 + 4x + 21x] = 3x + -1(11 + -2x) Combine like terms: 4x + 21x = 25x 5x + -1[-6 + 25x] = 3x + -1(11 + -2x) 5x + [-6 * -1 + 25x * -1] = 3x + -1(11 + -2x) 5x + [6 + -25x] = 3x + -1(11 + -2x) Reorder the terms: 6 + 5x + -25x = 3x + -1(11 + -2x) Combine like terms: 5x + -25x = -20x 6 + -20x = 3x + -1(11 + -2x) 6 + -20x = 3x + (11 * -1 + -2x * -1) 6 + -20x = 3x + (-11 + 2x) Reorder the terms: 6 + -20x = -11 + 3x + 2x Combine like terms: 3x + 2x = 5x 6 + -20x = -11 + 5x Solving 6 + -20x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 6 + -20x + -5x = -11 + 5x + -5x Combine like terms: -20x + -5x = -25x 6 + -25x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -25x = -11 + 0 6 + -25x = -11 Add '-6' to each side of the equation. 6 + -6 + -25x = -11 + -6 Combine like terms: 6 + -6 = 0 0 + -25x = -11 + -6 -25x = -11 + -6 Combine like terms: -11 + -6 = -17 -25x = -17 Divide each side by '-25'. x = 0.68 Simplifying x = 0.68
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