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Simplifying 5(x + 8) + 11 = 8x + -3(x + -3) Reorder the terms: 5(8 + x) + 11 = 8x + -3(x + -3) (8 * 5 + x * 5) + 11 = 8x + -3(x + -3) (40 + 5x) + 11 = 8x + -3(x + -3) Reorder the terms: 40 + 11 + 5x = 8x + -3(x + -3) Combine like terms: 40 + 11 = 51 51 + 5x = 8x + -3(x + -3) Reorder the terms: 51 + 5x = 8x + -3(-3 + x) 51 + 5x = 8x + (-3 * -3 + x * -3) 51 + 5x = 8x + (9 + -3x) Reorder the terms: 51 + 5x = 9 + 8x + -3x Combine like terms: 8x + -3x = 5x 51 + 5x = 9 + 5x Add '-5x' to each side of the equation. 51 + 5x + -5x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + 0 = 9 + 5x + -5x 51 = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 51 = 9 + 0 51 = 9 Solving 51 = 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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