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Simplifying 4(3x + 2) + 3(5x + 5) + 6 = 27x + 30 Reorder the terms: 4(2 + 3x) + 3(5x + 5) + 6 = 27x + 30 (2 * 4 + 3x * 4) + 3(5x + 5) + 6 = 27x + 30 (8 + 12x) + 3(5x + 5) + 6 = 27x + 30 Reorder the terms: 8 + 12x + 3(5 + 5x) + 6 = 27x + 30 8 + 12x + (5 * 3 + 5x * 3) + 6 = 27x + 30 8 + 12x + (15 + 15x) + 6 = 27x + 30 Reorder the terms: 8 + 15 + 6 + 12x + 15x = 27x + 30 Combine like terms: 8 + 15 = 23 23 + 6 + 12x + 15x = 27x + 30 Combine like terms: 23 + 6 = 29 29 + 12x + 15x = 27x + 30 Combine like terms: 12x + 15x = 27x 29 + 27x = 27x + 30 Reorder the terms: 29 + 27x = 30 + 27x Add '-27x' to each side of the equation. 29 + 27x + -27x = 30 + 27x + -27x Combine like terms: 27x + -27x = 0 29 + 0 = 30 + 27x + -27x 29 = 30 + 27x + -27x Combine like terms: 27x + -27x = 0 29 = 30 + 0 29 = 30 Solving 29 = 30 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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