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Simplifying 6 + -1(3x + -3) + -1[2 + -1(-4x + -1)] = -1(-3x + 2) Reorder the terms: 6 + -1(-3 + 3x) + -1[2 + -1(-4x + -1)] = -1(-3x + 2) 6 + (-3 * -1 + 3x * -1) + -1[2 + -1(-4x + -1)] = -1(-3x + 2) 6 + (3 + -3x) + -1[2 + -1(-4x + -1)] = -1(-3x + 2) Reorder the terms: 6 + 3 + -3x + -1[2 + -1(-1 + -4x)] = -1(-3x + 2) 6 + 3 + -3x + -1[2 + (-1 * -1 + -4x * -1)] = -1(-3x + 2) 6 + 3 + -3x + -1[2 + (1 + 4x)] = -1(-3x + 2) Combine like terms: 2 + 1 = 3 6 + 3 + -3x + -1[3 + 4x] = -1(-3x + 2) 6 + 3 + -3x + [3 * -1 + 4x * -1] = -1(-3x + 2) 6 + 3 + -3x + [-3 + -4x] = -1(-3x + 2) Reorder the terms: 6 + 3 + -3 + -3x + -4x = -1(-3x + 2) Combine like terms: 6 + 3 = 9 9 + -3 + -3x + -4x = -1(-3x + 2) Combine like terms: 9 + -3 = 6 6 + -3x + -4x = -1(-3x + 2) Combine like terms: -3x + -4x = -7x 6 + -7x = -1(-3x + 2) Reorder the terms: 6 + -7x = -1(2 + -3x) 6 + -7x = (2 * -1 + -3x * -1) 6 + -7x = (-2 + 3x) Solving 6 + -7x = -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. 6 + -7x + -3x = -2 + 3x + -3x Combine like terms: -7x + -3x = -10x 6 + -10x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -10x = -2 + 0 6 + -10x = -2 Add '-6' to each side of the equation. 6 + -6 + -10x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -2 + -6 -10x = -2 + -6 Combine like terms: -2 + -6 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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