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Simplifying 3x + 27 + 2(x + -3) = 5(x + 9) + 24 Reorder the terms: 3x + 27 + 2(-3 + x) = 5(x + 9) + 24 3x + 27 + (-3 * 2 + x * 2) = 5(x + 9) + 24 3x + 27 + (-6 + 2x) = 5(x + 9) + 24 Reorder the terms: 27 + -6 + 3x + 2x = 5(x + 9) + 24 Combine like terms: 27 + -6 = 21 21 + 3x + 2x = 5(x + 9) + 24 Combine like terms: 3x + 2x = 5x 21 + 5x = 5(x + 9) + 24 Reorder the terms: 21 + 5x = 5(9 + x) + 24 21 + 5x = (9 * 5 + x * 5) + 24 21 + 5x = (45 + 5x) + 24 Reorder the terms: 21 + 5x = 45 + 24 + 5x Combine like terms: 45 + 24 = 69 21 + 5x = 69 + 5x Add '-5x' to each side of the equation. 21 + 5x + -5x = 69 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 0 = 69 + 5x + -5x 21 = 69 + 5x + -5x Combine like terms: 5x + -5x = 0 21 = 69 + 0 21 = 69 Solving 21 = 69 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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