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Simplifying 11x + -6(x + 1) + 15 = 5(x + -6) + 22 Reorder the terms: 11x + -6(1 + x) + 15 = 5(x + -6) + 22 11x + (1 * -6 + x * -6) + 15 = 5(x + -6) + 22 11x + (-6 + -6x) + 15 = 5(x + -6) + 22 Reorder the terms: -6 + 15 + 11x + -6x = 5(x + -6) + 22 Combine like terms: -6 + 15 = 9 9 + 11x + -6x = 5(x + -6) + 22 Combine like terms: 11x + -6x = 5x 9 + 5x = 5(x + -6) + 22 Reorder the terms: 9 + 5x = 5(-6 + x) + 22 9 + 5x = (-6 * 5 + x * 5) + 22 9 + 5x = (-30 + 5x) + 22 Reorder the terms: 9 + 5x = -30 + 22 + 5x Combine like terms: -30 + 22 = -8 9 + 5x = -8 + 5x Add '-5x' to each side of the equation. 9 + 5x + -5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 0 = -8 + 5x + -5x 9 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 9 = -8 + 0 9 = -8 Solving 9 = -8 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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