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Simplifying 4[-2(4x + 3) + 2(5x + -5)] = 0 Reorder the terms: 4[-2(3 + 4x) + 2(5x + -5)] = 0 4[(3 * -2 + 4x * -2) + 2(5x + -5)] = 0 4[(-6 + -8x) + 2(5x + -5)] = 0 Reorder the terms: 4[-6 + -8x + 2(-5 + 5x)] = 0 4[-6 + -8x + (-5 * 2 + 5x * 2)] = 0 4[-6 + -8x + (-10 + 10x)] = 0 Reorder the terms: 4[-6 + -10 + -8x + 10x] = 0 Combine like terms: -6 + -10 = -16 4[-16 + -8x + 10x] = 0 Combine like terms: -8x + 10x = 2x 4[-16 + 2x] = 0 [-16 * 4 + 2x * 4] = 0 [-64 + 8x] = 0 Solving -64 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 8x = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 8x = 0 + 64 8x = 0 + 64 Combine like terms: 0 + 64 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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