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Simplifying 3[-4(5x + 5) + 5(5x + -2)] = 0 Reorder the terms: 3[-4(5 + 5x) + 5(5x + -2)] = 0 3[(5 * -4 + 5x * -4) + 5(5x + -2)] = 0 3[(-20 + -20x) + 5(5x + -2)] = 0 Reorder the terms: 3[-20 + -20x + 5(-2 + 5x)] = 0 3[-20 + -20x + (-2 * 5 + 5x * 5)] = 0 3[-20 + -20x + (-10 + 25x)] = 0 Reorder the terms: 3[-20 + -10 + -20x + 25x] = 0 Combine like terms: -20 + -10 = -30 3[-30 + -20x + 25x] = 0 Combine like terms: -20x + 25x = 5x 3[-30 + 5x] = 0 [-30 * 3 + 5x * 3] = 0 [-90 + 15x] = 0 Solving -90 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 15x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 15x = 0 + 90 15x = 0 + 90 Combine like terms: 0 + 90 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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