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Simplifying [-1(5x + 4) + -1(8x + -5)] + -1[-9x + (4x + -5)] = 0 Reorder the terms: [-1(4 + 5x) + -1(8x + -5)] + -1[-9x + (4x + -5)] = 0 [(4 * -1 + 5x * -1) + -1(8x + -5)] + -1[-9x + (4x + -5)] = 0 [(-4 + -5x) + -1(8x + -5)] + -1[-9x + (4x + -5)] = 0 Reorder the terms: [-4 + -5x + -1(-5 + 8x)] + -1[-9x + (4x + -5)] = 0 [-4 + -5x + (-5 * -1 + 8x * -1)] + -1[-9x + (4x + -5)] = 0 [-4 + -5x + (5 + -8x)] + -1[-9x + (4x + -5)] = 0 Reorder the terms: [-4 + 5 + -5x + -8x] + -1[-9x + (4x + -5)] = 0 Combine like terms: -4 + 5 = 1 [1 + -5x + -8x] + -1[-9x + (4x + -5)] = 0 Combine like terms: -5x + -8x = -13x [1 + -13x] + -1[-9x + (4x + -5)] = 0 Remove brackets around [1 + -13x] 1 + -13x + -1[-9x + (4x + -5)] = 0 Reorder the terms: 1 + -13x + -1[-9x + (-5 + 4x)] = 0 Remove parenthesis around (-5 + 4x) 1 + -13x + -1[-9x + -5 + 4x] = 0 Reorder the terms: 1 + -13x + -1[-5 + -9x + 4x] = 0 Combine like terms: -9x + 4x = -5x 1 + -13x + -1[-5 + -5x] = 0 1 + -13x + [-5 * -1 + -5x * -1] = 0 1 + -13x + [5 + 5x] = 0 Reorder the terms: 1 + 5 + -13x + 5x = 0 Combine like terms: 1 + 5 = 6 6 + -13x + 5x = 0 Combine like terms: -13x + 5x = -8x 6 + -8x = 0 Solving 6 + -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = 0 + -6 -8x = 0 + -6 Combine like terms: 0 + -6 = -6 -8x = -6 Divide each side by '-8'. x = 0.75 Simplifying x = 0.75
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