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Simplifying 7(x + 1) + -2 = 5x + 2(5 + x) Reorder the terms: 7(1 + x) + -2 = 5x + 2(5 + x) (1 * 7 + x * 7) + -2 = 5x + 2(5 + x) (7 + 7x) + -2 = 5x + 2(5 + x) Reorder the terms: 7 + -2 + 7x = 5x + 2(5 + x) Combine like terms: 7 + -2 = 5 5 + 7x = 5x + 2(5 + x) 5 + 7x = 5x + (5 * 2 + x * 2) 5 + 7x = 5x + (10 + 2x) Reorder the terms: 5 + 7x = 10 + 5x + 2x Combine like terms: 5x + 2x = 7x 5 + 7x = 10 + 7x Add '-7x' to each side of the equation. 5 + 7x + -7x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 0 = 10 + 7x + -7x 5 = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 5 = 10 + 0 5 = 10 Solving 5 = 10 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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