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Simplifying 8(x + 3) + 5 = 11x + -3(x + -5) Reorder the terms: 8(3 + x) + 5 = 11x + -3(x + -5) (3 * 8 + x * 8) + 5 = 11x + -3(x + -5) (24 + 8x) + 5 = 11x + -3(x + -5) Reorder the terms: 24 + 5 + 8x = 11x + -3(x + -5) Combine like terms: 24 + 5 = 29 29 + 8x = 11x + -3(x + -5) Reorder the terms: 29 + 8x = 11x + -3(-5 + x) 29 + 8x = 11x + (-5 * -3 + x * -3) 29 + 8x = 11x + (15 + -3x) Reorder the terms: 29 + 8x = 15 + 11x + -3x Combine like terms: 11x + -3x = 8x 29 + 8x = 15 + 8x Add '-8x' to each side of the equation. 29 + 8x + -8x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 29 + 0 = 15 + 8x + -8x 29 = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 29 = 15 + 0 29 = 15 Solving 29 = 15 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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