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