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Simplifying 8(x + 5) + 6 = 11x + -3(x + -3) Reorder the terms: 8(5 + x) + 6 = 11x + -3(x + -3) (5 * 8 + x * 8) + 6 = 11x + -3(x + -3) (40 + 8x) + 6 = 11x + -3(x + -3) Reorder the terms: 40 + 6 + 8x = 11x + -3(x + -3) Combine like terms: 40 + 6 = 46 46 + 8x = 11x + -3(x + -3) Reorder the terms: 46 + 8x = 11x + -3(-3 + x) 46 + 8x = 11x + (-3 * -3 + x * -3) 46 + 8x = 11x + (9 + -3x) Reorder the terms: 46 + 8x = 9 + 11x + -3x Combine like terms: 11x + -3x = 8x 46 + 8x = 9 + 8x Add '-8x' to each side of the equation. 46 + 8x + -8x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 46 + 0 = 9 + 8x + -8x 46 = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 46 = 9 + 0 46 = 9 Solving 46 = 9 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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