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Simplifying 2[-2(4x + 4) + 5(5x + -5)] = 0 Reorder the terms: 2[-2(4 + 4x) + 5(5x + -5)] = 0 2[(4 * -2 + 4x * -2) + 5(5x + -5)] = 0 2[(-8 + -8x) + 5(5x + -5)] = 0 Reorder the terms: 2[-8 + -8x + 5(-5 + 5x)] = 0 2[-8 + -8x + (-5 * 5 + 5x * 5)] = 0 2[-8 + -8x + (-25 + 25x)] = 0 Reorder the terms: 2[-8 + -25 + -8x + 25x] = 0 Combine like terms: -8 + -25 = -33 2[-33 + -8x + 25x] = 0 Combine like terms: -8x + 25x = 17x 2[-33 + 17x] = 0 [-33 * 2 + 17x * 2] = 0 [-66 + 34x] = 0 Solving -66 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 34x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 34x = 0 + 66 34x = 0 + 66 Combine like terms: 0 + 66 = 66 34x = 66 Divide each side by '34'. x = 1.941176471 Simplifying x = 1.941176471
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