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Simplifying 2[-2(4x + 5) + 4(4x + -5)] = 0 Reorder the terms: 2[-2(5 + 4x) + 4(4x + -5)] = 0 2[(5 * -2 + 4x * -2) + 4(4x + -5)] = 0 2[(-10 + -8x) + 4(4x + -5)] = 0 Reorder the terms: 2[-10 + -8x + 4(-5 + 4x)] = 0 2[-10 + -8x + (-5 * 4 + 4x * 4)] = 0 2[-10 + -8x + (-20 + 16x)] = 0 Reorder the terms: 2[-10 + -20 + -8x + 16x] = 0 Combine like terms: -10 + -20 = -30 2[-30 + -8x + 16x] = 0 Combine like terms: -8x + 16x = 8x 2[-30 + 8x] = 0 [-30 * 2 + 8x * 2] = 0 [-60 + 16x] = 0 Solving -60 + 16x = 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 + 16x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 16x = 0 + 60 16x = 0 + 60 Combine like terms: 0 + 60 = 60 16x = 60 Divide each side by '16'. x = 3.75 Simplifying x = 3.75
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