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Simplifying 4(5x + 1) + 5(x + -5) = 0 Reorder the terms: 4(1 + 5x) + 5(x + -5) = 0 (1 * 4 + 5x * 4) + 5(x + -5) = 0 (4 + 20x) + 5(x + -5) = 0 Reorder the terms: 4 + 20x + 5(-5 + x) = 0 4 + 20x + (-5 * 5 + x * 5) = 0 4 + 20x + (-25 + 5x) = 0 Reorder the terms: 4 + -25 + 20x + 5x = 0 Combine like terms: 4 + -25 = -21 -21 + 20x + 5x = 0 Combine like terms: 20x + 5x = 25x -21 + 25x = 0 Solving -21 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 25x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 25x = 0 + 21 25x = 0 + 21 Combine like terms: 0 + 21 = 21 25x = 21 Divide each side by '25'. x = 0.84 Simplifying x = 0.84
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