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Simplifying 3(x + 7) + 2x = 5(x + 5) Reorder the terms: 3(7 + x) + 2x = 5(x + 5) (7 * 3 + x * 3) + 2x = 5(x + 5) (21 + 3x) + 2x = 5(x + 5) Combine like terms: 3x + 2x = 5x 21 + 5x = 5(x + 5) Reorder the terms: 21 + 5x = 5(5 + x) 21 + 5x = (5 * 5 + x * 5) 21 + 5x = (25 + 5x) Add '-5x' to each side of the equation. 21 + 5x + -5x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 0 = 25 + 5x + -5x 21 = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 21 = 25 + 0 21 = 25 Solving 21 = 25 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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