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Simplifying 2(2 + x) + -1(6 + -7x) = 13x + -1(1 + 4x) (2 * 2 + x * 2) + -1(6 + -7x) = 13x + -1(1 + 4x) (4 + 2x) + -1(6 + -7x) = 13x + -1(1 + 4x) 4 + 2x + (6 * -1 + -7x * -1) = 13x + -1(1 + 4x) 4 + 2x + (-6 + 7x) = 13x + -1(1 + 4x) Reorder the terms: 4 + -6 + 2x + 7x = 13x + -1(1 + 4x) Combine like terms: 4 + -6 = -2 -2 + 2x + 7x = 13x + -1(1 + 4x) Combine like terms: 2x + 7x = 9x -2 + 9x = 13x + -1(1 + 4x) -2 + 9x = 13x + (1 * -1 + 4x * -1) -2 + 9x = 13x + (-1 + -4x) Reorder the terms: -2 + 9x = -1 + 13x + -4x Combine like terms: 13x + -4x = 9x -2 + 9x = -1 + 9x Add '-9x' to each side of the equation. -2 + 9x + -9x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + 0 = -1 + 9x + -9x -2 = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 = -1 + 0 -2 = -1 Solving -2 = -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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