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Simplifying 6(x + 2) + -5 = 11x + -5(x + -5) Reorder the terms: 6(2 + x) + -5 = 11x + -5(x + -5) (2 * 6 + x * 6) + -5 = 11x + -5(x + -5) (12 + 6x) + -5 = 11x + -5(x + -5) Reorder the terms: 12 + -5 + 6x = 11x + -5(x + -5) Combine like terms: 12 + -5 = 7 7 + 6x = 11x + -5(x + -5) Reorder the terms: 7 + 6x = 11x + -5(-5 + x) 7 + 6x = 11x + (-5 * -5 + x * -5) 7 + 6x = 11x + (25 + -5x) Reorder the terms: 7 + 6x = 25 + 11x + -5x Combine like terms: 11x + -5x = 6x 7 + 6x = 25 + 6x Add '-6x' to each side of the equation. 7 + 6x + -6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 0 = 25 + 6x + -6x 7 = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 7 = 25 + 0 7 = 25 Solving 7 = 25 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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