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Simplifying 9(3x + 5) + -7x = 4(5x + 6) + 19 Reorder the terms: 9(5 + 3x) + -7x = 4(5x + 6) + 19 (5 * 9 + 3x * 9) + -7x = 4(5x + 6) + 19 (45 + 27x) + -7x = 4(5x + 6) + 19 Combine like terms: 27x + -7x = 20x 45 + 20x = 4(5x + 6) + 19 Reorder the terms: 45 + 20x = 4(6 + 5x) + 19 45 + 20x = (6 * 4 + 5x * 4) + 19 45 + 20x = (24 + 20x) + 19 Reorder the terms: 45 + 20x = 24 + 19 + 20x Combine like terms: 24 + 19 = 43 45 + 20x = 43 + 20x Add '-20x' to each side of the equation. 45 + 20x + -20x = 43 + 20x + -20x Combine like terms: 20x + -20x = 0 45 + 0 = 43 + 20x + -20x 45 = 43 + 20x + -20x Combine like terms: 20x + -20x = 0 45 = 43 + 0 45 = 43 Solving 45 = 43 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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