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Simplifying (x + -5) + (x + -4) + (x + -3) + (x + -2) + (x + -1) + x + (x + 1) = 7x Reorder the terms: (-5 + x) + (x + -4) + (x + -3) + (x + -2) + (x + -1) + x + (x + 1) = 7x Remove parenthesis around (-5 + x) -5 + x + (x + -4) + (x + -3) + (x + -2) + (x + -1) + x + (x + 1) = 7x Reorder the terms: -5 + x + (-4 + x) + (x + -3) + (x + -2) + (x + -1) + x + (x + 1) = 7x Remove parenthesis around (-4 + x) -5 + x + -4 + x + (x + -3) + (x + -2) + (x + -1) + x + (x + 1) = 7x Reorder the terms: -5 + x + -4 + x + (-3 + x) + (x + -2) + (x + -1) + x + (x + 1) = 7x Remove parenthesis around (-3 + x) -5 + x + -4 + x + -3 + x + (x + -2) + (x + -1) + x + (x + 1) = 7x Reorder the terms: -5 + x + -4 + x + -3 + x + (-2 + x) + (x + -1) + x + (x + 1) = 7x Remove parenthesis around (-2 + x) -5 + x + -4 + x + -3 + x + -2 + x + (x + -1) + x + (x + 1) = 7x Reorder the terms: -5 + x + -4 + x + -3 + x + -2 + x + (-1 + x) + x + (x + 1) = 7x Remove parenthesis around (-1 + x) -5 + x + -4 + x + -3 + x + -2 + x + -1 + x + x + (x + 1) = 7x Reorder the terms: -5 + x + -4 + x + -3 + x + -2 + x + -1 + x + x + (1 + x) = 7x Remove parenthesis around (1 + x) -5 + x + -4 + x + -3 + x + -2 + x + -1 + x + x + 1 + x = 7x Reorder the terms: -5 + -4 + -3 + -2 + -1 + 1 + x + x + x + x + x + x + x = 7x Combine like terms: -5 + -4 = -9 -9 + -3 + -2 + -1 + 1 + x + x + x + x + x + x + x = 7x Combine like terms: -9 + -3 = -12 -12 + -2 + -1 + 1 + x + x + x + x + x + x + x = 7x Combine like terms: -12 + -2 = -14 -14 + -1 + 1 + x + x + x + x + x + x + x = 7x Combine like terms: -14 + -1 = -15 -15 + 1 + x + x + x + x + x + x + x = 7x Combine like terms: -15 + 1 = -14 -14 + x + x + x + x + x + x + x = 7x Combine like terms: x + x = 2x -14 + 2x + x + x + x + x + x = 7x Combine like terms: 2x + x = 3x -14 + 3x + x + x + x + x = 7x Combine like terms: 3x + x = 4x -14 + 4x + x + x + x = 7x Combine like terms: 4x + x = 5x -14 + 5x + x + x = 7x Combine like terms: 5x + x = 6x -14 + 6x + x = 7x Combine like terms: 6x + x = 7x -14 + 7x = 7x Add '-7x' to each side of the equation. -14 + 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 -14 + 0 = 7x + -7x -14 = 7x + -7x Combine like terms: 7x + -7x = 0 -14 = 0 Solving -14 = 0 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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