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