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Simplifying 5(3x + 7) + -1 = 3(5x + 27) + 4 Reorder the terms: 5(7 + 3x) + -1 = 3(5x + 27) + 4 (7 * 5 + 3x * 5) + -1 = 3(5x + 27) + 4 (35 + 15x) + -1 = 3(5x + 27) + 4 Reorder the terms: 35 + -1 + 15x = 3(5x + 27) + 4 Combine like terms: 35 + -1 = 34 34 + 15x = 3(5x + 27) + 4 Reorder the terms: 34 + 15x = 3(27 + 5x) + 4 34 + 15x = (27 * 3 + 5x * 3) + 4 34 + 15x = (81 + 15x) + 4 Reorder the terms: 34 + 15x = 81 + 4 + 15x Combine like terms: 81 + 4 = 85 34 + 15x = 85 + 15x Add '-15x' to each side of the equation. 34 + 15x + -15x = 85 + 15x + -15x Combine like terms: 15x + -15x = 0 34 + 0 = 85 + 15x + -15x 34 = 85 + 15x + -15x Combine like terms: 15x + -15x = 0 34 = 85 + 0 34 = 85 Solving 34 = 85 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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