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Simplifying 2[2x + -5 + -1(3 + 5x)] = 4 + -4x + -8 2[2x + -5 + (3 * -1 + 5x * -1)] = 4 + -4x + -8 2[2x + -5 + (-3 + -5x)] = 4 + -4x + -8 Reorder the terms: 2[-5 + -3 + 2x + -5x] = 4 + -4x + -8 Combine like terms: -5 + -3 = -8 2[-8 + 2x + -5x] = 4 + -4x + -8 Combine like terms: 2x + -5x = -3x 2[-8 + -3x] = 4 + -4x + -8 [-8 * 2 + -3x * 2] = 4 + -4x + -8 [-16 + -6x] = 4 + -4x + -8 Reorder the terms: -16 + -6x = 4 + -8 + -4x Combine like terms: 4 + -8 = -4 -16 + -6x = -4 + -4x Solving -16 + -6x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16 + -6x + 4x = -4 + -4x + 4x Combine like terms: -6x + 4x = -2x -16 + -2x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -2x = -4 + 0 -16 + -2x = -4 Add '16' to each side of the equation. -16 + 16 + -2x = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -2x = -4 + 16 -2x = -4 + 16 Combine like terms: -4 + 16 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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