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Simplifying -1(2x + -5) + 7 = (x + 5) + -1(3x + -1) Reorder the terms: -1(-5 + 2x) + 7 = (x + 5) + -1(3x + -1) (-5 * -1 + 2x * -1) + 7 = (x + 5) + -1(3x + -1) (5 + -2x) + 7 = (x + 5) + -1(3x + -1) Reorder the terms: 5 + 7 + -2x = (x + 5) + -1(3x + -1) Combine like terms: 5 + 7 = 12 12 + -2x = (x + 5) + -1(3x + -1) Reorder the terms: 12 + -2x = (5 + x) + -1(3x + -1) Remove parenthesis around (5 + x) 12 + -2x = 5 + x + -1(3x + -1) Reorder the terms: 12 + -2x = 5 + x + -1(-1 + 3x) 12 + -2x = 5 + x + (-1 * -1 + 3x * -1) 12 + -2x = 5 + x + (1 + -3x) Reorder the terms: 12 + -2x = 5 + 1 + x + -3x Combine like terms: 5 + 1 = 6 12 + -2x = 6 + x + -3x Combine like terms: x + -3x = -2x 12 + -2x = 6 + -2x Add '2x' to each side of the equation. 12 + -2x + 2x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 0 = 6 + -2x + 2x 12 = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 12 = 6 + 0 12 = 6 Solving 12 = 6 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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