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Simplifying 5(6x + 4) + 5(4x + 5) + 5 = 50x + 51 Reorder the terms: 5(4 + 6x) + 5(4x + 5) + 5 = 50x + 51 (4 * 5 + 6x * 5) + 5(4x + 5) + 5 = 50x + 51 (20 + 30x) + 5(4x + 5) + 5 = 50x + 51 Reorder the terms: 20 + 30x + 5(5 + 4x) + 5 = 50x + 51 20 + 30x + (5 * 5 + 4x * 5) + 5 = 50x + 51 20 + 30x + (25 + 20x) + 5 = 50x + 51 Reorder the terms: 20 + 25 + 5 + 30x + 20x = 50x + 51 Combine like terms: 20 + 25 = 45 45 + 5 + 30x + 20x = 50x + 51 Combine like terms: 45 + 5 = 50 50 + 30x + 20x = 50x + 51 Combine like terms: 30x + 20x = 50x 50 + 50x = 50x + 51 Reorder the terms: 50 + 50x = 51 + 50x Add '-50x' to each side of the equation. 50 + 50x + -50x = 51 + 50x + -50x Combine like terms: 50x + -50x = 0 50 + 0 = 51 + 50x + -50x 50 = 51 + 50x + -50x Combine like terms: 50x + -50x = 0 50 = 51 + 0 50 = 51 Solving 50 = 51 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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