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Simplifying 5[-4(5x + 4) + 5(5x + -5)] = 0 Reorder the terms: 5[-4(4 + 5x) + 5(5x + -5)] = 0 5[(4 * -4 + 5x * -4) + 5(5x + -5)] = 0 5[(-16 + -20x) + 5(5x + -5)] = 0 Reorder the terms: 5[-16 + -20x + 5(-5 + 5x)] = 0 5[-16 + -20x + (-5 * 5 + 5x * 5)] = 0 5[-16 + -20x + (-25 + 25x)] = 0 Reorder the terms: 5[-16 + -25 + -20x + 25x] = 0 Combine like terms: -16 + -25 = -41 5[-41 + -20x + 25x] = 0 Combine like terms: -20x + 25x = 5x 5[-41 + 5x] = 0 [-41 * 5 + 5x * 5] = 0 [-205 + 25x] = 0 Solving -205 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '205' to each side of the equation. -205 + 205 + 25x = 0 + 205 Combine like terms: -205 + 205 = 0 0 + 25x = 0 + 205 25x = 0 + 205 Combine like terms: 0 + 205 = 205 25x = 205 Divide each side by '25'. x = 8.2 Simplifying x = 8.2
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