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Simplifying 3(3x + 4) + 5(4x + 5) + 2 = 29x + 40 Reorder the terms: 3(4 + 3x) + 5(4x + 5) + 2 = 29x + 40 (4 * 3 + 3x * 3) + 5(4x + 5) + 2 = 29x + 40 (12 + 9x) + 5(4x + 5) + 2 = 29x + 40 Reorder the terms: 12 + 9x + 5(5 + 4x) + 2 = 29x + 40 12 + 9x + (5 * 5 + 4x * 5) + 2 = 29x + 40 12 + 9x + (25 + 20x) + 2 = 29x + 40 Reorder the terms: 12 + 25 + 2 + 9x + 20x = 29x + 40 Combine like terms: 12 + 25 = 37 37 + 2 + 9x + 20x = 29x + 40 Combine like terms: 37 + 2 = 39 39 + 9x + 20x = 29x + 40 Combine like terms: 9x + 20x = 29x 39 + 29x = 29x + 40 Reorder the terms: 39 + 29x = 40 + 29x Add '-29x' to each side of the equation. 39 + 29x + -29x = 40 + 29x + -29x Combine like terms: 29x + -29x = 0 39 + 0 = 40 + 29x + -29x 39 = 40 + 29x + -29x Combine like terms: 29x + -29x = 0 39 = 40 + 0 39 = 40 Solving 39 = 40 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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