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Simplifying 7(x + 2) + 2 = 2x + 5(4 + x) Reorder the terms: 7(2 + x) + 2 = 2x + 5(4 + x) (2 * 7 + x * 7) + 2 = 2x + 5(4 + x) (14 + 7x) + 2 = 2x + 5(4 + x) Reorder the terms: 14 + 2 + 7x = 2x + 5(4 + x) Combine like terms: 14 + 2 = 16 16 + 7x = 2x + 5(4 + x) 16 + 7x = 2x + (4 * 5 + x * 5) 16 + 7x = 2x + (20 + 5x) Reorder the terms: 16 + 7x = 20 + 2x + 5x Combine like terms: 2x + 5x = 7x 16 + 7x = 20 + 7x Add '-7x' to each side of the equation. 16 + 7x + -7x = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 0 = 20 + 7x + -7x 16 = 20 + 7x + -7x Combine like terms: 7x + -7x = 0 16 = 20 + 0 16 = 20 Solving 16 = 20 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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