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Simplifying 9(x + 6) + 7 = 11x + -2(x + -5) Reorder the terms: 9(6 + x) + 7 = 11x + -2(x + -5) (6 * 9 + x * 9) + 7 = 11x + -2(x + -5) (54 + 9x) + 7 = 11x + -2(x + -5) Reorder the terms: 54 + 7 + 9x = 11x + -2(x + -5) Combine like terms: 54 + 7 = 61 61 + 9x = 11x + -2(x + -5) Reorder the terms: 61 + 9x = 11x + -2(-5 + x) 61 + 9x = 11x + (-5 * -2 + x * -2) 61 + 9x = 11x + (10 + -2x) Reorder the terms: 61 + 9x = 10 + 11x + -2x Combine like terms: 11x + -2x = 9x 61 + 9x = 10 + 9x Add '-9x' to each side of the equation. 61 + 9x + -9x = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 61 + 0 = 10 + 9x + -9x 61 = 10 + 9x + -9x Combine like terms: 9x + -9x = 0 61 = 10 + 0 61 = 10 Solving 61 = 10 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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