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Simplifying 6(3x + 4) + 3(2x + 5) + 5 = 24x + 45 Reorder the terms: 6(4 + 3x) + 3(2x + 5) + 5 = 24x + 45 (4 * 6 + 3x * 6) + 3(2x + 5) + 5 = 24x + 45 (24 + 18x) + 3(2x + 5) + 5 = 24x + 45 Reorder the terms: 24 + 18x + 3(5 + 2x) + 5 = 24x + 45 24 + 18x + (5 * 3 + 2x * 3) + 5 = 24x + 45 24 + 18x + (15 + 6x) + 5 = 24x + 45 Reorder the terms: 24 + 15 + 5 + 18x + 6x = 24x + 45 Combine like terms: 24 + 15 = 39 39 + 5 + 18x + 6x = 24x + 45 Combine like terms: 39 + 5 = 44 44 + 18x + 6x = 24x + 45 Combine like terms: 18x + 6x = 24x 44 + 24x = 24x + 45 Reorder the terms: 44 + 24x = 45 + 24x Add '-24x' to each side of the equation. 44 + 24x + -24x = 45 + 24x + -24x Combine like terms: 24x + -24x = 0 44 + 0 = 45 + 24x + -24x 44 = 45 + 24x + -24x Combine like terms: 24x + -24x = 0 44 = 45 + 0 44 = 45 Solving 44 = 45 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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