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Simplifying 5x + -1[(x + 1) + -2(x + 3)] = 2(8 + x) + -1[(6 + x) + -5x] Reorder the terms: 5x + -1[(1 + x) + -2(x + 3)] = 2(8 + x) + -1[(6 + x) + -5x] Remove parenthesis around (1 + x) 5x + -1[1 + x + -2(x + 3)] = 2(8 + x) + -1[(6 + x) + -5x] Reorder the terms: 5x + -1[1 + x + -2(3 + x)] = 2(8 + x) + -1[(6 + x) + -5x] 5x + -1[1 + x + (3 * -2 + x * -2)] = 2(8 + x) + -1[(6 + x) + -5x] 5x + -1[1 + x + (-6 + -2x)] = 2(8 + x) + -1[(6 + x) + -5x] Reorder the terms: 5x + -1[1 + -6 + x + -2x] = 2(8 + x) + -1[(6 + x) + -5x] Combine like terms: 1 + -6 = -5 5x + -1[-5 + x + -2x] = 2(8 + x) + -1[(6 + x) + -5x] Combine like terms: x + -2x = -1x 5x + -1[-5 + -1x] = 2(8 + x) + -1[(6 + x) + -5x] 5x + [-5 * -1 + -1x * -1] = 2(8 + x) + -1[(6 + x) + -5x] 5x + [5 + 1x] = 2(8 + x) + -1[(6 + x) + -5x] Reorder the terms: 5 + 5x + 1x = 2(8 + x) + -1[(6 + x) + -5x] Combine like terms: 5x + 1x = 6x 5 + 6x = 2(8 + x) + -1[(6 + x) + -5x] 5 + 6x = (8 * 2 + x * 2) + -1[(6 + x) + -5x] 5 + 6x = (16 + 2x) + -1[(6 + x) + -5x] Remove parenthesis around (6 + x) 5 + 6x = 16 + 2x + -1[6 + x + -5x] Combine like terms: x + -5x = -4x 5 + 6x = 16 + 2x + -1[6 + -4x] 5 + 6x = 16 + 2x + [6 * -1 + -4x * -1] 5 + 6x = 16 + 2x + [-6 + 4x] Reorder the terms: 5 + 6x = 16 + -6 + 2x + 4x Combine like terms: 16 + -6 = 10 5 + 6x = 10 + 2x + 4x Combine like terms: 2x + 4x = 6x 5 + 6x = 10 + 6x Add '-6x' to each side of the equation. 5 + 6x + -6x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + 0 = 10 + 6x + -6x 5 = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 5 = 10 + 0 5 = 10 Solving 5 = 10 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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