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Simplifying 4(4x + 5) + 3(5x + 3) + 6 = 31x + 36 Reorder the terms: 4(5 + 4x) + 3(5x + 3) + 6 = 31x + 36 (5 * 4 + 4x * 4) + 3(5x + 3) + 6 = 31x + 36 (20 + 16x) + 3(5x + 3) + 6 = 31x + 36 Reorder the terms: 20 + 16x + 3(3 + 5x) + 6 = 31x + 36 20 + 16x + (3 * 3 + 5x * 3) + 6 = 31x + 36 20 + 16x + (9 + 15x) + 6 = 31x + 36 Reorder the terms: 20 + 9 + 6 + 16x + 15x = 31x + 36 Combine like terms: 20 + 9 = 29 29 + 6 + 16x + 15x = 31x + 36 Combine like terms: 29 + 6 = 35 35 + 16x + 15x = 31x + 36 Combine like terms: 16x + 15x = 31x 35 + 31x = 31x + 36 Reorder the terms: 35 + 31x = 36 + 31x Add '-31x' to each side of the equation. 35 + 31x + -31x = 36 + 31x + -31x Combine like terms: 31x + -31x = 0 35 + 0 = 36 + 31x + -31x 35 = 36 + 31x + -31x Combine like terms: 31x + -31x = 0 35 = 36 + 0 35 = 36 Solving 35 = 36 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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