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Simplifying 2(x + 1) + -1(3 + -2x) = 2x + -1(7 + -2x) Reorder the terms: 2(1 + x) + -1(3 + -2x) = 2x + -1(7 + -2x) (1 * 2 + x * 2) + -1(3 + -2x) = 2x + -1(7 + -2x) (2 + 2x) + -1(3 + -2x) = 2x + -1(7 + -2x) 2 + 2x + (3 * -1 + -2x * -1) = 2x + -1(7 + -2x) 2 + 2x + (-3 + 2x) = 2x + -1(7 + -2x) Reorder the terms: 2 + -3 + 2x + 2x = 2x + -1(7 + -2x) Combine like terms: 2 + -3 = -1 -1 + 2x + 2x = 2x + -1(7 + -2x) Combine like terms: 2x + 2x = 4x -1 + 4x = 2x + -1(7 + -2x) -1 + 4x = 2x + (7 * -1 + -2x * -1) -1 + 4x = 2x + (-7 + 2x) Reorder the terms: -1 + 4x = -7 + 2x + 2x Combine like terms: 2x + 2x = 4x -1 + 4x = -7 + 4x Add '-4x' to each side of the equation. -1 + 4x + -4x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 0 = -7 + 4x + -4x -1 = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 = -7 + 0 -1 = -7 Solving -1 = -7 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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