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Simplifying 6(x + 5) + -6 = 15x + -9(x + -8) Reorder the terms: 6(5 + x) + -6 = 15x + -9(x + -8) (5 * 6 + x * 6) + -6 = 15x + -9(x + -8) (30 + 6x) + -6 = 15x + -9(x + -8) Reorder the terms: 30 + -6 + 6x = 15x + -9(x + -8) Combine like terms: 30 + -6 = 24 24 + 6x = 15x + -9(x + -8) Reorder the terms: 24 + 6x = 15x + -9(-8 + x) 24 + 6x = 15x + (-8 * -9 + x * -9) 24 + 6x = 15x + (72 + -9x) Reorder the terms: 24 + 6x = 72 + 15x + -9x Combine like terms: 15x + -9x = 6x 24 + 6x = 72 + 6x Add '-6x' to each side of the equation. 24 + 6x + -6x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 24 + 0 = 72 + 6x + -6x 24 = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 24 = 72 + 0 24 = 72 Solving 24 = 72 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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