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Simplifying -10(-2x + 4) = 2(4x + -8) Reorder the terms: -10(4 + -2x) = 2(4x + -8) (4 * -10 + -2x * -10) = 2(4x + -8) (-40 + 20x) = 2(4x + -8) Reorder the terms: -40 + 20x = 2(-8 + 4x) -40 + 20x = (-8 * 2 + 4x * 2) -40 + 20x = (-16 + 8x) Solving -40 + 20x = -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. -40 + 20x + -8x = -16 + 8x + -8x Combine like terms: 20x + -8x = 12x -40 + 12x = -16 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 12x = -16 + 0 -40 + 12x = -16 Add '40' to each side of the equation. -40 + 40 + 12x = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 12x = -16 + 40 12x = -16 + 40 Combine like terms: -16 + 40 = 24 12x = 24 Divide each side by '12'. x = 2 Simplifying x = 2
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