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