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Simplifying 2x + -3 + -1(x + 1) = -1[x + -3(x + 2)] + -1(x + 4) Reorder the terms: 2x + -3 + -1(1 + x) = -1[x + -3(x + 2)] + -1(x + 4) 2x + -3 + (1 * -1 + x * -1) = -1[x + -3(x + 2)] + -1(x + 4) 2x + -3 + (-1 + -1x) = -1[x + -3(x + 2)] + -1(x + 4) Reorder the terms: -3 + -1 + 2x + -1x = -1[x + -3(x + 2)] + -1(x + 4) Combine like terms: -3 + -1 = -4 -4 + 2x + -1x = -1[x + -3(x + 2)] + -1(x + 4) Combine like terms: 2x + -1x = 1x -4 + 1x = -1[x + -3(x + 2)] + -1(x + 4) Reorder the terms: -4 + 1x = -1[x + -3(2 + x)] + -1(x + 4) -4 + 1x = -1[x + (2 * -3 + x * -3)] + -1(x + 4) -4 + 1x = -1[x + (-6 + -3x)] + -1(x + 4) Reorder the terms: -4 + 1x = -1[-6 + x + -3x] + -1(x + 4) Combine like terms: x + -3x = -2x -4 + 1x = -1[-6 + -2x] + -1(x + 4) -4 + 1x = [-6 * -1 + -2x * -1] + -1(x + 4) -4 + 1x = [6 + 2x] + -1(x + 4) Reorder the terms: -4 + 1x = 6 + 2x + -1(4 + x) -4 + 1x = 6 + 2x + (4 * -1 + x * -1) -4 + 1x = 6 + 2x + (-4 + -1x) Reorder the terms: -4 + 1x = 6 + -4 + 2x + -1x Combine like terms: 6 + -4 = 2 -4 + 1x = 2 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + 1x = 2 + 1x Add '-1x' to each side of the equation. -4 + 1x + -1x = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 0 = 2 + 1x + -1x -4 = 2 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 = 2 + 0 -4 = 2 Solving -4 = 2 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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