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Simplifying 4(4x + 5) + 5(4x + 3) + 5 = 36x + 41 Reorder the terms: 4(5 + 4x) + 5(4x + 3) + 5 = 36x + 41 (5 * 4 + 4x * 4) + 5(4x + 3) + 5 = 36x + 41 (20 + 16x) + 5(4x + 3) + 5 = 36x + 41 Reorder the terms: 20 + 16x + 5(3 + 4x) + 5 = 36x + 41 20 + 16x + (3 * 5 + 4x * 5) + 5 = 36x + 41 20 + 16x + (15 + 20x) + 5 = 36x + 41 Reorder the terms: 20 + 15 + 5 + 16x + 20x = 36x + 41 Combine like terms: 20 + 15 = 35 35 + 5 + 16x + 20x = 36x + 41 Combine like terms: 35 + 5 = 40 40 + 16x + 20x = 36x + 41 Combine like terms: 16x + 20x = 36x 40 + 36x = 36x + 41 Reorder the terms: 40 + 36x = 41 + 36x Add '-36x' to each side of the equation. 40 + 36x + -36x = 41 + 36x + -36x Combine like terms: 36x + -36x = 0 40 + 0 = 41 + 36x + -36x 40 = 41 + 36x + -36x Combine like terms: 36x + -36x = 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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