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