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Simplifying 9(x + 1) + 2 = 4x + 5(2 + x) Reorder the terms: 9(1 + x) + 2 = 4x + 5(2 + x) (1 * 9 + x * 9) + 2 = 4x + 5(2 + x) (9 + 9x) + 2 = 4x + 5(2 + x) Reorder the terms: 9 + 2 + 9x = 4x + 5(2 + x) Combine like terms: 9 + 2 = 11 11 + 9x = 4x + 5(2 + x) 11 + 9x = 4x + (2 * 5 + x * 5) 11 + 9x = 4x + (10 + 5x) Reorder the terms: 11 + 9x = 10 + 4x + 5x Combine like terms: 4x + 5x = 9x 11 + 9x = 10 + 9x Add '-9x' to each side of the equation. 11 + 9x + -9x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 11 + 0 = 10 + 9x + -9x 11 = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 11 = 10 + 0 11 = 10 Solving 11 = 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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