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Simplifying 5[-2(2x + 4) + 4(4x + -4)] = 0 Reorder the terms: 5[-2(4 + 2x) + 4(4x + -4)] = 0 5[(4 * -2 + 2x * -2) + 4(4x + -4)] = 0 5[(-8 + -4x) + 4(4x + -4)] = 0 Reorder the terms: 5[-8 + -4x + 4(-4 + 4x)] = 0 5[-8 + -4x + (-4 * 4 + 4x * 4)] = 0 5[-8 + -4x + (-16 + 16x)] = 0 Reorder the terms: 5[-8 + -16 + -4x + 16x] = 0 Combine like terms: -8 + -16 = -24 5[-24 + -4x + 16x] = 0 Combine like terms: -4x + 16x = 12x 5[-24 + 12x] = 0 [-24 * 5 + 12x * 5] = 0 [-120 + 60x] = 0 Solving -120 + 60x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 60x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 60x = 0 + 120 60x = 0 + 120 Combine like terms: 0 + 120 = 120 60x = 120 Divide each side by '60'. x = 2 Simplifying x = 2
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