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Simplifying 5(x + 9) + 6 = 8x + -3(x + -5) Reorder the terms: 5(9 + x) + 6 = 8x + -3(x + -5) (9 * 5 + x * 5) + 6 = 8x + -3(x + -5) (45 + 5x) + 6 = 8x + -3(x + -5) Reorder the terms: 45 + 6 + 5x = 8x + -3(x + -5) Combine like terms: 45 + 6 = 51 51 + 5x = 8x + -3(x + -5) Reorder the terms: 51 + 5x = 8x + -3(-5 + x) 51 + 5x = 8x + (-5 * -3 + x * -3) 51 + 5x = 8x + (15 + -3x) Reorder the terms: 51 + 5x = 15 + 8x + -3x Combine like terms: 8x + -3x = 5x 51 + 5x = 15 + 5x Add '-5x' to each side of the equation. 51 + 5x + -5x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 51 + 0 = 15 + 5x + -5x 51 = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 51 = 15 + 0 51 = 15 Solving 51 = 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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