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Simplifying 4(5x + 1) = -5(5x + -4) Reorder the terms: 4(1 + 5x) = -5(5x + -4) (1 * 4 + 5x * 4) = -5(5x + -4) (4 + 20x) = -5(5x + -4) Reorder the terms: 4 + 20x = -5(-4 + 5x) 4 + 20x = (-4 * -5 + 5x * -5) 4 + 20x = (20 + -25x) Solving 4 + 20x = 20 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 4 + 20x + 25x = 20 + -25x + 25x Combine like terms: 20x + 25x = 45x 4 + 45x = 20 + -25x + 25x Combine like terms: -25x + 25x = 0 4 + 45x = 20 + 0 4 + 45x = 20 Add '-4' to each side of the equation. 4 + -4 + 45x = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 45x = 20 + -4 45x = 20 + -4 Combine like terms: 20 + -4 = 16 45x = 16 Divide each side by '45'. x = 0.3555555556 Simplifying x = 0.3555555556
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