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Simplifying 6(x + 3) + 9 = 11x + -5(x + -4) Reorder the terms: 6(3 + x) + 9 = 11x + -5(x + -4) (3 * 6 + x * 6) + 9 = 11x + -5(x + -4) (18 + 6x) + 9 = 11x + -5(x + -4) Reorder the terms: 18 + 9 + 6x = 11x + -5(x + -4) Combine like terms: 18 + 9 = 27 27 + 6x = 11x + -5(x + -4) Reorder the terms: 27 + 6x = 11x + -5(-4 + x) 27 + 6x = 11x + (-4 * -5 + x * -5) 27 + 6x = 11x + (20 + -5x) Reorder the terms: 27 + 6x = 20 + 11x + -5x Combine like terms: 11x + -5x = 6x 27 + 6x = 20 + 6x Add '-6x' to each side of the equation. 27 + 6x + -6x = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + 0 = 20 + 6x + -6x 27 = 20 + 6x + -6x Combine like terms: 6x + -6x = 0 27 = 20 + 0 27 = 20 Solving 27 = 20 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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