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