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Simplifying 6(3x + 5) + 9(5x + -2) = 5 + 7(9x + 8) Reorder the terms: 6(5 + 3x) + 9(5x + -2) = 5 + 7(9x + 8) (5 * 6 + 3x * 6) + 9(5x + -2) = 5 + 7(9x + 8) (30 + 18x) + 9(5x + -2) = 5 + 7(9x + 8) Reorder the terms: 30 + 18x + 9(-2 + 5x) = 5 + 7(9x + 8) 30 + 18x + (-2 * 9 + 5x * 9) = 5 + 7(9x + 8) 30 + 18x + (-18 + 45x) = 5 + 7(9x + 8) Reorder the terms: 30 + -18 + 18x + 45x = 5 + 7(9x + 8) Combine like terms: 30 + -18 = 12 12 + 18x + 45x = 5 + 7(9x + 8) Combine like terms: 18x + 45x = 63x 12 + 63x = 5 + 7(9x + 8) Reorder the terms: 12 + 63x = 5 + 7(8 + 9x) 12 + 63x = 5 + (8 * 7 + 9x * 7) 12 + 63x = 5 + (56 + 63x) Combine like terms: 5 + 56 = 61 12 + 63x = 61 + 63x Add '-63x' to each side of the equation. 12 + 63x + -63x = 61 + 63x + -63x Combine like terms: 63x + -63x = 0 12 + 0 = 61 + 63x + -63x 12 = 61 + 63x + -63x Combine like terms: 63x + -63x = 0 12 = 61 + 0 12 = 61 Solving 12 = 61 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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