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Simplifying 2[-5(4x + 3) + 5(5x + -3)] = 0 Reorder the terms: 2[-5(3 + 4x) + 5(5x + -3)] = 0 2[(3 * -5 + 4x * -5) + 5(5x + -3)] = 0 2[(-15 + -20x) + 5(5x + -3)] = 0 Reorder the terms: 2[-15 + -20x + 5(-3 + 5x)] = 0 2[-15 + -20x + (-3 * 5 + 5x * 5)] = 0 2[-15 + -20x + (-15 + 25x)] = 0 Reorder the terms: 2[-15 + -15 + -20x + 25x] = 0 Combine like terms: -15 + -15 = -30 2[-30 + -20x + 25x] = 0 Combine like terms: -20x + 25x = 5x 2[-30 + 5x] = 0 [-30 * 2 + 5x * 2] = 0 [-60 + 10x] = 0 Solving -60 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 10x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 10x = 0 + 60 10x = 0 + 60 Combine like terms: 0 + 60 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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