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Simplifying 24x + 5 = -3(x + 6) + 9(3x + 12) Reorder the terms: 5 + 24x = -3(x + 6) + 9(3x + 12) Reorder the terms: 5 + 24x = -3(6 + x) + 9(3x + 12) 5 + 24x = (6 * -3 + x * -3) + 9(3x + 12) 5 + 24x = (-18 + -3x) + 9(3x + 12) Reorder the terms: 5 + 24x = -18 + -3x + 9(12 + 3x) 5 + 24x = -18 + -3x + (12 * 9 + 3x * 9) 5 + 24x = -18 + -3x + (108 + 27x) Reorder the terms: 5 + 24x = -18 + 108 + -3x + 27x Combine like terms: -18 + 108 = 90 5 + 24x = 90 + -3x + 27x Combine like terms: -3x + 27x = 24x 5 + 24x = 90 + 24x Add '-24x' to each side of the equation. 5 + 24x + -24x = 90 + 24x + -24x Combine like terms: 24x + -24x = 0 5 + 0 = 90 + 24x + -24x 5 = 90 + 24x + -24x Combine like terms: 24x + -24x = 0 5 = 90 + 0 5 = 90 Solving 5 = 90 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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