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Simplifying 6(4x + 2) + 3(2x + 3) + 5 = 30x + 27 Reorder the terms: 6(2 + 4x) + 3(2x + 3) + 5 = 30x + 27 (2 * 6 + 4x * 6) + 3(2x + 3) + 5 = 30x + 27 (12 + 24x) + 3(2x + 3) + 5 = 30x + 27 Reorder the terms: 12 + 24x + 3(3 + 2x) + 5 = 30x + 27 12 + 24x + (3 * 3 + 2x * 3) + 5 = 30x + 27 12 + 24x + (9 + 6x) + 5 = 30x + 27 Reorder the terms: 12 + 9 + 5 + 24x + 6x = 30x + 27 Combine like terms: 12 + 9 = 21 21 + 5 + 24x + 6x = 30x + 27 Combine like terms: 21 + 5 = 26 26 + 24x + 6x = 30x + 27 Combine like terms: 24x + 6x = 30x 26 + 30x = 30x + 27 Reorder the terms: 26 + 30x = 27 + 30x Add '-30x' to each side of the equation. 26 + 30x + -30x = 27 + 30x + -30x Combine like terms: 30x + -30x = 0 26 + 0 = 27 + 30x + -30x 26 = 27 + 30x + -30x Combine like terms: 30x + -30x = 0 26 = 27 + 0 26 = 27 Solving 26 = 27 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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