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Simplifying 2[-2(4x + 5) + 4(3x + -4)] = 0 Reorder the terms: 2[-2(5 + 4x) + 4(3x + -4)] = 0 2[(5 * -2 + 4x * -2) + 4(3x + -4)] = 0 2[(-10 + -8x) + 4(3x + -4)] = 0 Reorder the terms: 2[-10 + -8x + 4(-4 + 3x)] = 0 2[-10 + -8x + (-4 * 4 + 3x * 4)] = 0 2[-10 + -8x + (-16 + 12x)] = 0 Reorder the terms: 2[-10 + -16 + -8x + 12x] = 0 Combine like terms: -10 + -16 = -26 2[-26 + -8x + 12x] = 0 Combine like terms: -8x + 12x = 4x 2[-26 + 4x] = 0 [-26 * 2 + 4x * 2] = 0 [-52 + 8x] = 0 Solving -52 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 8x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 8x = 0 + 52 8x = 0 + 52 Combine like terms: 0 + 52 = 52 8x = 52 Divide each side by '8'. x = 6.5 Simplifying x = 6.5
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