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