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Simplifying 2[-4(4x + 5) + 5(4x + -4)] = 0 Reorder the terms: 2[-4(5 + 4x) + 5(4x + -4)] = 0 2[(5 * -4 + 4x * -4) + 5(4x + -4)] = 0 2[(-20 + -16x) + 5(4x + -4)] = 0 Reorder the terms: 2[-20 + -16x + 5(-4 + 4x)] = 0 2[-20 + -16x + (-4 * 5 + 4x * 5)] = 0 2[-20 + -16x + (-20 + 20x)] = 0 Reorder the terms: 2[-20 + -20 + -16x + 20x] = 0 Combine like terms: -20 + -20 = -40 2[-40 + -16x + 20x] = 0 Combine like terms: -16x + 20x = 4x 2[-40 + 4x] = 0 [-40 * 2 + 4x * 2] = 0 [-80 + 8x] = 0 Solving -80 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + 8x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + 8x = 0 + 80 8x = 0 + 80 Combine like terms: 0 + 80 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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