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Simplifying 3(x + 5) + 27 = 9x + -6(x + 8) Reorder the terms: 3(5 + x) + 27 = 9x + -6(x + 8) (5 * 3 + x * 3) + 27 = 9x + -6(x + 8) (15 + 3x) + 27 = 9x + -6(x + 8) Reorder the terms: 15 + 27 + 3x = 9x + -6(x + 8) Combine like terms: 15 + 27 = 42 42 + 3x = 9x + -6(x + 8) Reorder the terms: 42 + 3x = 9x + -6(8 + x) 42 + 3x = 9x + (8 * -6 + x * -6) 42 + 3x = 9x + (-48 + -6x) Reorder the terms: 42 + 3x = -48 + 9x + -6x Combine like terms: 9x + -6x = 3x 42 + 3x = -48 + 3x Add '-3x' to each side of the equation. 42 + 3x + -3x = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 42 + 0 = -48 + 3x + -3x 42 = -48 + 3x + -3x Combine like terms: 3x + -3x = 0 42 = -48 + 0 42 = -48 Solving 42 = -48 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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