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