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Simplifying 13x + -5(x + 2) = 9 + 8(x + 6) Reorder the terms: 13x + -5(2 + x) = 9 + 8(x + 6) 13x + (2 * -5 + x * -5) = 9 + 8(x + 6) 13x + (-10 + -5x) = 9 + 8(x + 6) Reorder the terms: -10 + 13x + -5x = 9 + 8(x + 6) Combine like terms: 13x + -5x = 8x -10 + 8x = 9 + 8(x + 6) Reorder the terms: -10 + 8x = 9 + 8(6 + x) -10 + 8x = 9 + (6 * 8 + x * 8) -10 + 8x = 9 + (48 + 8x) Combine like terms: 9 + 48 = 57 -10 + 8x = 57 + 8x Add '-8x' to each side of the equation. -10 + 8x + -8x = 57 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 0 = 57 + 8x + -8x -10 = 57 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 = 57 + 0 -10 = 57 Solving -10 = 57 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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