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Simplifying 2[-4(4x + 3) + 5(5x + -5)] = 0 Reorder the terms: 2[-4(3 + 4x) + 5(5x + -5)] = 0 2[(3 * -4 + 4x * -4) + 5(5x + -5)] = 0 2[(-12 + -16x) + 5(5x + -5)] = 0 Reorder the terms: 2[-12 + -16x + 5(-5 + 5x)] = 0 2[-12 + -16x + (-5 * 5 + 5x * 5)] = 0 2[-12 + -16x + (-25 + 25x)] = 0 Reorder the terms: 2[-12 + -25 + -16x + 25x] = 0 Combine like terms: -12 + -25 = -37 2[-37 + -16x + 25x] = 0 Combine like terms: -16x + 25x = 9x 2[-37 + 9x] = 0 [-37 * 2 + 9x * 2] = 0 [-74 + 18x] = 0 Solving -74 + 18x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + 18x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + 18x = 0 + 74 18x = 0 + 74 Combine like terms: 0 + 74 = 74 18x = 74 Divide each side by '18'. x = 4.111111111 Simplifying x = 4.111111111
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