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