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Simplifying (2x + -5) + -1(7 + -3x) = (8x + 5) + -1(-4 + 3x) Reorder the terms: (-5 + 2x) + -1(7 + -3x) = (8x + 5) + -1(-4 + 3x) Remove parenthesis around (-5 + 2x) -5 + 2x + -1(7 + -3x) = (8x + 5) + -1(-4 + 3x) -5 + 2x + (7 * -1 + -3x * -1) = (8x + 5) + -1(-4 + 3x) -5 + 2x + (-7 + 3x) = (8x + 5) + -1(-4 + 3x) Reorder the terms: -5 + -7 + 2x + 3x = (8x + 5) + -1(-4 + 3x) Combine like terms: -5 + -7 = -12 -12 + 2x + 3x = (8x + 5) + -1(-4 + 3x) Combine like terms: 2x + 3x = 5x -12 + 5x = (8x + 5) + -1(-4 + 3x) Reorder the terms: -12 + 5x = (5 + 8x) + -1(-4 + 3x) Remove parenthesis around (5 + 8x) -12 + 5x = 5 + 8x + -1(-4 + 3x) -12 + 5x = 5 + 8x + (-4 * -1 + 3x * -1) -12 + 5x = 5 + 8x + (4 + -3x) Reorder the terms: -12 + 5x = 5 + 4 + 8x + -3x Combine like terms: 5 + 4 = 9 -12 + 5x = 9 + 8x + -3x Combine like terms: 8x + -3x = 5x -12 + 5x = 9 + 5x Add '-5x' to each side of the equation. -12 + 5x + -5x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 0 = 9 + 5x + -5x -12 = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 = 9 + 0 -12 = 9 Solving -12 = 9 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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