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Simplifying 5 + -1[2X + -1(X + 5)] = 2 + -1(X + 3) Reorder the terms: 5 + -1[2X + -1(5 + X)] = 2 + -1(X + 3) 5 + -1[2X + (5 * -1 + X * -1)] = 2 + -1(X + 3) 5 + -1[2X + (-5 + -1X)] = 2 + -1(X + 3) Reorder the terms: 5 + -1[-5 + 2X + -1X] = 2 + -1(X + 3) Combine like terms: 2X + -1X = 1X 5 + -1[-5 + 1X] = 2 + -1(X + 3) 5 + [-5 * -1 + 1X * -1] = 2 + -1(X + 3) 5 + [5 + -1X] = 2 + -1(X + 3) Combine like terms: 5 + 5 = 10 10 + -1X = 2 + -1(X + 3) Reorder the terms: 10 + -1X = 2 + -1(3 + X) 10 + -1X = 2 + (3 * -1 + X * -1) 10 + -1X = 2 + (-3 + -1X) Combine like terms: 2 + -3 = -1 10 + -1X = -1 + -1X Add 'X' to each side of the equation. 10 + -1X + X = -1 + -1X + X Combine like terms: -1X + X = 0 10 + 0 = -1 + -1X + X 10 = -1 + -1X + X Combine like terms: -1X + X = 0 10 = -1 + 0 10 = -1 Solving 10 = -1 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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