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Simplifying 4(5x + 2) + 5(x + -2) = 0 Reorder the terms: 4(2 + 5x) + 5(x + -2) = 0 (2 * 4 + 5x * 4) + 5(x + -2) = 0 (8 + 20x) + 5(x + -2) = 0 Reorder the terms: 8 + 20x + 5(-2 + x) = 0 8 + 20x + (-2 * 5 + x * 5) = 0 8 + 20x + (-10 + 5x) = 0 Reorder the terms: 8 + -10 + 20x + 5x = 0 Combine like terms: 8 + -10 = -2 -2 + 20x + 5x = 0 Combine like terms: 20x + 5x = 25x -2 + 25x = 0 Solving -2 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 25x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 25x = 0 + 2 25x = 0 + 2 Combine like terms: 0 + 2 = 2 25x = 2 Divide each side by '25'. x = 0.08 Simplifying x = 0.08
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