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Simplifying 9(x + 7) + -3x = 6(x + 5) + -3 Reorder the terms: 9(7 + x) + -3x = 6(x + 5) + -3 (7 * 9 + x * 9) + -3x = 6(x + 5) + -3 (63 + 9x) + -3x = 6(x + 5) + -3 Combine like terms: 9x + -3x = 6x 63 + 6x = 6(x + 5) + -3 Reorder the terms: 63 + 6x = 6(5 + x) + -3 63 + 6x = (5 * 6 + x * 6) + -3 63 + 6x = (30 + 6x) + -3 Reorder the terms: 63 + 6x = 30 + -3 + 6x Combine like terms: 30 + -3 = 27 63 + 6x = 27 + 6x Add '-6x' to each side of the equation. 63 + 6x + -6x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 63 + 0 = 27 + 6x + -6x 63 = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 63 = 27 + 0 63 = 27 Solving 63 = 27 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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