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Simplifying -4(5x + -2) = -12x + 4 + -8 + 4 Reorder the terms: -4(-2 + 5x) = -12x + 4 + -8 + 4 (-2 * -4 + 5x * -4) = -12x + 4 + -8 + 4 (8 + -20x) = -12x + 4 + -8 + 4 Reorder the terms: 8 + -20x = 4 + -8 + 4 + -12x Combine like terms: 4 + -8 = -4 8 + -20x = -4 + 4 + -12x Combine like terms: -4 + 4 = 0 8 + -20x = 0 + -12x 8 + -20x = -12x Solving 8 + -20x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + -20x + 12x = -12x + 12x Combine like terms: -20x + 12x = -8x 8 + -8x = -12x + 12x Combine like terms: -12x + 12x = 0 8 + -8x = 0 Add '-8' to each side of the equation. 8 + -8 + -8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 0 + -8 -8x = 0 + -8 Combine like terms: 0 + -8 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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