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Simplifying 5(x + 2) + 2 = 3x + 2(4 + x) Reorder the terms: 5(2 + x) + 2 = 3x + 2(4 + x) (2 * 5 + x * 5) + 2 = 3x + 2(4 + x) (10 + 5x) + 2 = 3x + 2(4 + x) Reorder the terms: 10 + 2 + 5x = 3x + 2(4 + x) Combine like terms: 10 + 2 = 12 12 + 5x = 3x + 2(4 + x) 12 + 5x = 3x + (4 * 2 + x * 2) 12 + 5x = 3x + (8 + 2x) Reorder the terms: 12 + 5x = 8 + 3x + 2x Combine like terms: 3x + 2x = 5x 12 + 5x = 8 + 5x Add '-5x' to each side of the equation. 12 + 5x + -5x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 0 = 8 + 5x + -5x 12 = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 12 = 8 + 0 12 = 8 Solving 12 = 8 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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