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Simplifying 5(x + 8) + 9 = 9x + -4(x + -6) Reorder the terms: 5(8 + x) + 9 = 9x + -4(x + -6) (8 * 5 + x * 5) + 9 = 9x + -4(x + -6) (40 + 5x) + 9 = 9x + -4(x + -6) Reorder the terms: 40 + 9 + 5x = 9x + -4(x + -6) Combine like terms: 40 + 9 = 49 49 + 5x = 9x + -4(x + -6) Reorder the terms: 49 + 5x = 9x + -4(-6 + x) 49 + 5x = 9x + (-6 * -4 + x * -4) 49 + 5x = 9x + (24 + -4x) Reorder the terms: 49 + 5x = 24 + 9x + -4x Combine like terms: 9x + -4x = 5x 49 + 5x = 24 + 5x Add '-5x' to each side of the equation. 49 + 5x + -5x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + 0 = 24 + 5x + -5x 49 = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 49 = 24 + 0 49 = 24 Solving 49 = 24 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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