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Simplifying 5[-4(5x + 4) + 5(5x + -2)] = 0 Reorder the terms: 5[-4(4 + 5x) + 5(5x + -2)] = 0 5[(4 * -4 + 5x * -4) + 5(5x + -2)] = 0 5[(-16 + -20x) + 5(5x + -2)] = 0 Reorder the terms: 5[-16 + -20x + 5(-2 + 5x)] = 0 5[-16 + -20x + (-2 * 5 + 5x * 5)] = 0 5[-16 + -20x + (-10 + 25x)] = 0 Reorder the terms: 5[-16 + -10 + -20x + 25x] = 0 Combine like terms: -16 + -10 = -26 5[-26 + -20x + 25x] = 0 Combine like terms: -20x + 25x = 5x 5[-26 + 5x] = 0 [-26 * 5 + 5x * 5] = 0 [-130 + 25x] = 0 Solving -130 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '130' to each side of the equation. -130 + 130 + 25x = 0 + 130 Combine like terms: -130 + 130 = 0 0 + 25x = 0 + 130 25x = 0 + 130 Combine like terms: 0 + 130 = 130 25x = 130 Divide each side by '25'. x = 5.2 Simplifying x = 5.2
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