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Simplifying 2[-5(3x + 5) + 5(4x + -4)] = 0 Reorder the terms: 2[-5(5 + 3x) + 5(4x + -4)] = 0 2[(5 * -5 + 3x * -5) + 5(4x + -4)] = 0 2[(-25 + -15x) + 5(4x + -4)] = 0 Reorder the terms: 2[-25 + -15x + 5(-4 + 4x)] = 0 2[-25 + -15x + (-4 * 5 + 4x * 5)] = 0 2[-25 + -15x + (-20 + 20x)] = 0 Reorder the terms: 2[-25 + -20 + -15x + 20x] = 0 Combine like terms: -25 + -20 = -45 2[-45 + -15x + 20x] = 0 Combine like terms: -15x + 20x = 5x 2[-45 + 5x] = 0 [-45 * 2 + 5x * 2] = 0 [-90 + 10x] = 0 Solving -90 + 10x = 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 + 10x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 10x = 0 + 90 10x = 0 + 90 Combine like terms: 0 + 90 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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