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Simplifying 5(X + 8) + 11 = 8X + -3(X + -6) Reorder the terms: 5(8 + X) + 11 = 8X + -3(X + -6) (8 * 5 + X * 5) + 11 = 8X + -3(X + -6) (40 + 5X) + 11 = 8X + -3(X + -6) Reorder the terms: 40 + 11 + 5X = 8X + -3(X + -6) Combine like terms: 40 + 11 = 51 51 + 5X = 8X + -3(X + -6) Reorder the terms: 51 + 5X = 8X + -3(-6 + X) 51 + 5X = 8X + (-6 * -3 + X * -3) 51 + 5X = 8X + (18 + -3X) Reorder the terms: 51 + 5X = 18 + 8X + -3X Combine like terms: 8X + -3X = 5X 51 + 5X = 18 + 5X Add '-5X' to each side of the equation. 51 + 5X + -5X = 18 + 5X + -5X Combine like terms: 5X + -5X = 0 51 + 0 = 18 + 5X + -5X 51 = 18 + 5X + -5X Combine like terms: 5X + -5X = 0 51 = 18 + 0 51 = 18 Solving 51 = 18 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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