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Simplifying 3(x + -2) + (x + 5) = 3(x + 1) + (x + -1) + 3 Reorder the terms: 3(-2 + x) + (x + 5) = 3(x + 1) + (x + -1) + 3 (-2 * 3 + x * 3) + (x + 5) = 3(x + 1) + (x + -1) + 3 (-6 + 3x) + (x + 5) = 3(x + 1) + (x + -1) + 3 Reorder the terms: -6 + 3x + (5 + x) = 3(x + 1) + (x + -1) + 3 Remove parenthesis around (5 + x) -6 + 3x + 5 + x = 3(x + 1) + (x + -1) + 3 Reorder the terms: -6 + 5 + 3x + x = 3(x + 1) + (x + -1) + 3 Combine like terms: -6 + 5 = -1 -1 + 3x + x = 3(x + 1) + (x + -1) + 3 Combine like terms: 3x + x = 4x -1 + 4x = 3(x + 1) + (x + -1) + 3 Reorder the terms: -1 + 4x = 3(1 + x) + (x + -1) + 3 -1 + 4x = (1 * 3 + x * 3) + (x + -1) + 3 -1 + 4x = (3 + 3x) + (x + -1) + 3 Reorder the terms: -1 + 4x = 3 + 3x + (-1 + x) + 3 Remove parenthesis around (-1 + x) -1 + 4x = 3 + 3x + -1 + x + 3 Reorder the terms: -1 + 4x = 3 + -1 + 3 + 3x + x Combine like terms: 3 + -1 = 2 -1 + 4x = 2 + 3 + 3x + x Combine like terms: 2 + 3 = 5 -1 + 4x = 5 + 3x + x Combine like terms: 3x + x = 4x -1 + 4x = 5 + 4x Add '-4x' to each side of the equation. -1 + 4x + -4x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 + 0 = 5 + 4x + -4x -1 = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -1 = 5 + 0 -1 = 5 Solving -1 = 5 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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