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Simplifying 5[-2(4x + 4) + 2(5x + -5)] = 0 Reorder the terms: 5[-2(4 + 4x) + 2(5x + -5)] = 0 5[(4 * -2 + 4x * -2) + 2(5x + -5)] = 0 5[(-8 + -8x) + 2(5x + -5)] = 0 Reorder the terms: 5[-8 + -8x + 2(-5 + 5x)] = 0 5[-8 + -8x + (-5 * 2 + 5x * 2)] = 0 5[-8 + -8x + (-10 + 10x)] = 0 Reorder the terms: 5[-8 + -10 + -8x + 10x] = 0 Combine like terms: -8 + -10 = -18 5[-18 + -8x + 10x] = 0 Combine like terms: -8x + 10x = 2x 5[-18 + 2x] = 0 [-18 * 5 + 2x * 5] = 0 [-90 + 10x] = 0 Solving -90 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 10x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + 10x = 0 + 90 10x = 0 + 90 Combine like terms: 0 + 90 = 90 10x = 90 Divide each side by '10'. x = 9 Simplifying x = 9
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