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Simplifying 5(6x + 2) + 5(3x + 5) + 5 = 45x + 41 Reorder the terms: 5(2 + 6x) + 5(3x + 5) + 5 = 45x + 41 (2 * 5 + 6x * 5) + 5(3x + 5) + 5 = 45x + 41 (10 + 30x) + 5(3x + 5) + 5 = 45x + 41 Reorder the terms: 10 + 30x + 5(5 + 3x) + 5 = 45x + 41 10 + 30x + (5 * 5 + 3x * 5) + 5 = 45x + 41 10 + 30x + (25 + 15x) + 5 = 45x + 41 Reorder the terms: 10 + 25 + 5 + 30x + 15x = 45x + 41 Combine like terms: 10 + 25 = 35 35 + 5 + 30x + 15x = 45x + 41 Combine like terms: 35 + 5 = 40 40 + 30x + 15x = 45x + 41 Combine like terms: 30x + 15x = 45x 40 + 45x = 45x + 41 Reorder the terms: 40 + 45x = 41 + 45x Add '-45x' to each side of the equation. 40 + 45x + -45x = 41 + 45x + -45x Combine like terms: 45x + -45x = 0 40 + 0 = 41 + 45x + -45x 40 = 41 + 45x + -45x Combine like terms: 45x + -45x = 0 40 = 41 + 0 40 = 41 Solving 40 = 41 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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