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Simplifying 9(x + 7) + 6 = 11x + -2(x + -6) Reorder the terms: 9(7 + x) + 6 = 11x + -2(x + -6) (7 * 9 + x * 9) + 6 = 11x + -2(x + -6) (63 + 9x) + 6 = 11x + -2(x + -6) Reorder the terms: 63 + 6 + 9x = 11x + -2(x + -6) Combine like terms: 63 + 6 = 69 69 + 9x = 11x + -2(x + -6) Reorder the terms: 69 + 9x = 11x + -2(-6 + x) 69 + 9x = 11x + (-6 * -2 + x * -2) 69 + 9x = 11x + (12 + -2x) Reorder the terms: 69 + 9x = 12 + 11x + -2x Combine like terms: 11x + -2x = 9x 69 + 9x = 12 + 9x Add '-9x' to each side of the equation. 69 + 9x + -9x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 69 + 0 = 12 + 9x + -9x 69 = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 69 = 12 + 0 69 = 12 Solving 69 = 12 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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