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Simplifying 4(5x + 2) = -5(5x + -2) Reorder the terms: 4(2 + 5x) = -5(5x + -2) (2 * 4 + 5x * 4) = -5(5x + -2) (8 + 20x) = -5(5x + -2) Reorder the terms: 8 + 20x = -5(-2 + 5x) 8 + 20x = (-2 * -5 + 5x * -5) 8 + 20x = (10 + -25x) Solving 8 + 20x = 10 + -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. 8 + 20x + 25x = 10 + -25x + 25x Combine like terms: 20x + 25x = 45x 8 + 45x = 10 + -25x + 25x Combine like terms: -25x + 25x = 0 8 + 45x = 10 + 0 8 + 45x = 10 Add '-8' to each side of the equation. 8 + -8 + 45x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 45x = 10 + -8 45x = 10 + -8 Combine like terms: 10 + -8 = 2 45x = 2 Divide each side by '45'. x = 0.04444444444 Simplifying x = 0.04444444444
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