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Simplifying 6(x + 5) + 8 = 9x + -3(x + -6) Reorder the terms: 6(5 + x) + 8 = 9x + -3(x + -6) (5 * 6 + x * 6) + 8 = 9x + -3(x + -6) (30 + 6x) + 8 = 9x + -3(x + -6) Reorder the terms: 30 + 8 + 6x = 9x + -3(x + -6) Combine like terms: 30 + 8 = 38 38 + 6x = 9x + -3(x + -6) Reorder the terms: 38 + 6x = 9x + -3(-6 + x) 38 + 6x = 9x + (-6 * -3 + x * -3) 38 + 6x = 9x + (18 + -3x) Reorder the terms: 38 + 6x = 18 + 9x + -3x Combine like terms: 9x + -3x = 6x 38 + 6x = 18 + 6x Add '-6x' to each side of the equation. 38 + 6x + -6x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 38 + 0 = 18 + 6x + -6x 38 = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 38 = 18 + 0 38 = 18 Solving 38 = 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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