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Simplifying -2[3x + -1(x + -5)] = 3x + -4 Reorder the terms: -2[3x + -1(-5 + x)] = 3x + -4 -2[3x + (-5 * -1 + x * -1)] = 3x + -4 -2[3x + (5 + -1x)] = 3x + -4 Reorder the terms: -2[5 + 3x + -1x] = 3x + -4 Combine like terms: 3x + -1x = 2x -2[5 + 2x] = 3x + -4 [5 * -2 + 2x * -2] = 3x + -4 [-10 + -4x] = 3x + -4 Reorder the terms: -10 + -4x = -4 + 3x Solving -10 + -4x = -4 + 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. -10 + -4x + -3x = -4 + 3x + -3x Combine like terms: -4x + -3x = -7x -10 + -7x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + -7x = -4 + 0 -10 + -7x = -4 Add '10' to each side of the equation. -10 + 10 + -7x = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = -4 + 10 -7x = -4 + 10 Combine like terms: -4 + 10 = 6 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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