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Simplifying 2[-4(2x + 5) + 4(5x + -4)] = 0 Reorder the terms: 2[-4(5 + 2x) + 4(5x + -4)] = 0 2[(5 * -4 + 2x * -4) + 4(5x + -4)] = 0 2[(-20 + -8x) + 4(5x + -4)] = 0 Reorder the terms: 2[-20 + -8x + 4(-4 + 5x)] = 0 2[-20 + -8x + (-4 * 4 + 5x * 4)] = 0 2[-20 + -8x + (-16 + 20x)] = 0 Reorder the terms: 2[-20 + -16 + -8x + 20x] = 0 Combine like terms: -20 + -16 = -36 2[-36 + -8x + 20x] = 0 Combine like terms: -8x + 20x = 12x 2[-36 + 12x] = 0 [-36 * 2 + 12x * 2] = 0 [-72 + 24x] = 0 Solving -72 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 24x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 24x = 0 + 72 24x = 0 + 72 Combine like terms: 0 + 72 = 72 24x = 72 Divide each side by '24'. x = 3 Simplifying x = 3
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