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Simplifying -4(5x + -2) = 12x + 4 + -8x + 4 Reorder the terms: -4(-2 + 5x) = 12x + 4 + -8x + 4 (-2 * -4 + 5x * -4) = 12x + 4 + -8x + 4 (8 + -20x) = 12x + 4 + -8x + 4 Reorder the terms: 8 + -20x = 4 + 4 + 12x + -8x Combine like terms: 4 + 4 = 8 8 + -20x = 8 + 12x + -8x Combine like terms: 12x + -8x = 4x 8 + -20x = 8 + 4x Add '-8' to each side of the equation. 8 + -8 + -20x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 0 + -20x = 8 + -8 + 4x -20x = 8 + -8 + 4x Combine like terms: 8 + -8 = 0 -20x = 0 + 4x -20x = 4x Solving -20x = 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. -20x + -4x = 4x + -4x Combine like terms: -20x + -4x = -24x -24x = 4x + -4x Combine like terms: 4x + -4x = 0 -24x = 0 Divide each side by '-24'. x = 0 Simplifying x = 0
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