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Simplifying -2 + -4x + 8 = -3(2 + -1x) + 4(8x + 3) Reorder the terms: -2 + 8 + -4x = -3(2 + -1x) + 4(8x + 3) Combine like terms: -2 + 8 = 6 6 + -4x = -3(2 + -1x) + 4(8x + 3) 6 + -4x = (2 * -3 + -1x * -3) + 4(8x + 3) 6 + -4x = (-6 + 3x) + 4(8x + 3) Reorder the terms: 6 + -4x = -6 + 3x + 4(3 + 8x) 6 + -4x = -6 + 3x + (3 * 4 + 8x * 4) 6 + -4x = -6 + 3x + (12 + 32x) Reorder the terms: 6 + -4x = -6 + 12 + 3x + 32x Combine like terms: -6 + 12 = 6 6 + -4x = 6 + 3x + 32x Combine like terms: 3x + 32x = 35x 6 + -4x = 6 + 35x Add '-6' to each side of the equation. 6 + -6 + -4x = 6 + -6 + 35x Combine like terms: 6 + -6 = 0 0 + -4x = 6 + -6 + 35x -4x = 6 + -6 + 35x Combine like terms: 6 + -6 = 0 -4x = 0 + 35x -4x = 35x Solving -4x = 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. -4x + -35x = 35x + -35x Combine like terms: -4x + -35x = -39x -39x = 35x + -35x Combine like terms: 35x + -35x = 0 -39x = 0 Divide each side by '-39'. x = 0 Simplifying x = 0
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