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Simplifying 2[-4(4x + 4) + 5(4x + -4)] = 0 Reorder the terms: 2[-4(4 + 4x) + 5(4x + -4)] = 0 2[(4 * -4 + 4x * -4) + 5(4x + -4)] = 0 2[(-16 + -16x) + 5(4x + -4)] = 0 Reorder the terms: 2[-16 + -16x + 5(-4 + 4x)] = 0 2[-16 + -16x + (-4 * 5 + 4x * 5)] = 0 2[-16 + -16x + (-20 + 20x)] = 0 Reorder the terms: 2[-16 + -20 + -16x + 20x] = 0 Combine like terms: -16 + -20 = -36 2[-36 + -16x + 20x] = 0 Combine like terms: -16x + 20x = 4x 2[-36 + 4x] = 0 [-36 * 2 + 4x * 2] = 0 [-72 + 8x] = 0 Solving -72 + 8x = 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 + 8x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 8x = 0 + 72 8x = 0 + 72 Combine like terms: 0 + 72 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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