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Simplifying 8x + -1[4x + -1(3x + -5)] = 7x + [(2x + -4) + -1(3x + 2)] Reorder the terms: 8x + -1[4x + -1(-5 + 3x)] = 7x + [(2x + -4) + -1(3x + 2)] 8x + -1[4x + (-5 * -1 + 3x * -1)] = 7x + [(2x + -4) + -1(3x + 2)] 8x + -1[4x + (5 + -3x)] = 7x + [(2x + -4) + -1(3x + 2)] Reorder the terms: 8x + -1[5 + 4x + -3x] = 7x + [(2x + -4) + -1(3x + 2)] Combine like terms: 4x + -3x = 1x 8x + -1[5 + 1x] = 7x + [(2x + -4) + -1(3x + 2)] 8x + [5 * -1 + 1x * -1] = 7x + [(2x + -4) + -1(3x + 2)] 8x + [-5 + -1x] = 7x + [(2x + -4) + -1(3x + 2)] Reorder the terms: -5 + 8x + -1x = 7x + [(2x + -4) + -1(3x + 2)] Combine like terms: 8x + -1x = 7x -5 + 7x = 7x + [(2x + -4) + -1(3x + 2)] Reorder the terms: -5 + 7x = 7x + [(-4 + 2x) + -1(3x + 2)] Remove parenthesis around (-4 + 2x) -5 + 7x = 7x + [-4 + 2x + -1(3x + 2)] Reorder the terms: -5 + 7x = 7x + [-4 + 2x + -1(2 + 3x)] -5 + 7x = 7x + [-4 + 2x + (2 * -1 + 3x * -1)] -5 + 7x = 7x + [-4 + 2x + (-2 + -3x)] Reorder the terms: -5 + 7x = 7x + [-4 + -2 + 2x + -3x] Combine like terms: -4 + -2 = -6 -5 + 7x = 7x + [-6 + 2x + -3x] Combine like terms: 2x + -3x = -1x -5 + 7x = 7x + [-6 + -1x] Remove brackets around [-6 + -1x] -5 + 7x = 7x + -6 + -1x Reorder the terms: -5 + 7x = -6 + 7x + -1x Combine like terms: 7x + -1x = 6x -5 + 7x = -6 + 6x Solving -5 + 7x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = -6 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = -6 + 0 -5 + 1x = -6 Add '5' to each side of the equation. -5 + 5 + 1x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -6 + 5 1x = -6 + 5 Combine like terms: -6 + 5 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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