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Simplifying [-1(5x + 4) + -1(8x + -5)] + -1[-9x + (4x + -5)] = -8x + 6 Reorder the terms: [-1(4 + 5x) + -1(8x + -5)] + -1[-9x + (4x + -5)] = -8x + 6 [(4 * -1 + 5x * -1) + -1(8x + -5)] + -1[-9x + (4x + -5)] = -8x + 6 [(-4 + -5x) + -1(8x + -5)] + -1[-9x + (4x + -5)] = -8x + 6 Reorder the terms: [-4 + -5x + -1(-5 + 8x)] + -1[-9x + (4x + -5)] = -8x + 6 [-4 + -5x + (-5 * -1 + 8x * -1)] + -1[-9x + (4x + -5)] = -8x + 6 [-4 + -5x + (5 + -8x)] + -1[-9x + (4x + -5)] = -8x + 6 Reorder the terms: [-4 + 5 + -5x + -8x] + -1[-9x + (4x + -5)] = -8x + 6 Combine like terms: -4 + 5 = 1 [1 + -5x + -8x] + -1[-9x + (4x + -5)] = -8x + 6 Combine like terms: -5x + -8x = -13x [1 + -13x] + -1[-9x + (4x + -5)] = -8x + 6 Remove brackets around [1 + -13x] 1 + -13x + -1[-9x + (4x + -5)] = -8x + 6 Reorder the terms: 1 + -13x + -1[-9x + (-5 + 4x)] = -8x + 6 Remove parenthesis around (-5 + 4x) 1 + -13x + -1[-9x + -5 + 4x] = -8x + 6 Reorder the terms: 1 + -13x + -1[-5 + -9x + 4x] = -8x + 6 Combine like terms: -9x + 4x = -5x 1 + -13x + -1[-5 + -5x] = -8x + 6 1 + -13x + [-5 * -1 + -5x * -1] = -8x + 6 1 + -13x + [5 + 5x] = -8x + 6 Reorder the terms: 1 + 5 + -13x + 5x = -8x + 6 Combine like terms: 1 + 5 = 6 6 + -13x + 5x = -8x + 6 Combine like terms: -13x + 5x = -8x 6 + -8x = -8x + 6 Reorder the terms: 6 + -8x = 6 + -8x Add '-6' to each side of the equation. 6 + -6 + -8x = 6 + -6 + -8x Combine like terms: 6 + -6 = 0 0 + -8x = 6 + -6 + -8x -8x = 6 + -6 + -8x Combine like terms: 6 + -6 = 0 -8x = 0 + -8x -8x = -8x Add '8x' to each side of the equation. -8x + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 0 = -8x + 8x Combine like terms: -8x + 8x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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