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