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Simplifying 6 + -1(3x + -3) + -1[2(-4x + -1)] = -1(-3x + 2) Reorder the terms: 6 + -1(-3 + 3x) + -1[2(-4x + -1)] = -1(-3x + 2) 6 + (-3 * -1 + 3x * -1) + -1[2(-4x + -1)] = -1(-3x + 2) 6 + (3 + -3x) + -1[2(-4x + -1)] = -1(-3x + 2) Reorder the terms: 6 + 3 + -3x + -1[2(-1 + -4x)] = -1(-3x + 2) 6 + 3 + -3x + -1[(-1 * 2 + -4x * 2)] = -1(-3x + 2) 6 + 3 + -3x + -1[(-2 + -8x)] = -1(-3x + 2) 6 + 3 + -3x + [-2 * -1 + -8x * -1] = -1(-3x + 2) 6 + 3 + -3x + [2 + 8x] = -1(-3x + 2) Reorder the terms: 6 + 3 + 2 + -3x + 8x = -1(-3x + 2) Combine like terms: 6 + 3 = 9 9 + 2 + -3x + 8x = -1(-3x + 2) Combine like terms: 9 + 2 = 11 11 + -3x + 8x = -1(-3x + 2) Combine like terms: -3x + 8x = 5x 11 + 5x = -1(-3x + 2) Reorder the terms: 11 + 5x = -1(2 + -3x) 11 + 5x = (2 * -1 + -3x * -1) 11 + 5x = (-2 + 3x) Solving 11 + 5x = -2 + 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. 11 + 5x + -3x = -2 + 3x + -3x Combine like terms: 5x + -3x = 2x 11 + 2x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 11 + 2x = -2 + 0 11 + 2x = -2 Add '-11' to each side of the equation. 11 + -11 + 2x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = -2 + -11 2x = -2 + -11 Combine like terms: -2 + -11 = -13 2x = -13 Divide each side by '2'. x = -6.5 Simplifying x = -6.5
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