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Simplifying 6(x + 8) + 7 = 11x + -5(x + -5) Reorder the terms: 6(8 + x) + 7 = 11x + -5(x + -5) (8 * 6 + x * 6) + 7 = 11x + -5(x + -5) (48 + 6x) + 7 = 11x + -5(x + -5) Reorder the terms: 48 + 7 + 6x = 11x + -5(x + -5) Combine like terms: 48 + 7 = 55 55 + 6x = 11x + -5(x + -5) Reorder the terms: 55 + 6x = 11x + -5(-5 + x) 55 + 6x = 11x + (-5 * -5 + x * -5) 55 + 6x = 11x + (25 + -5x) Reorder the terms: 55 + 6x = 25 + 11x + -5x Combine like terms: 11x + -5x = 6x 55 + 6x = 25 + 6x Add '-6x' to each side of the equation. 55 + 6x + -6x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 55 + 0 = 25 + 6x + -6x 55 = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 55 = 25 + 0 55 = 25 Solving 55 = 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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