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Simplifying 3(4x + 6) + 3(5x + 5) + 2 = 27x + 35 Reorder the terms: 3(6 + 4x) + 3(5x + 5) + 2 = 27x + 35 (6 * 3 + 4x * 3) + 3(5x + 5) + 2 = 27x + 35 (18 + 12x) + 3(5x + 5) + 2 = 27x + 35 Reorder the terms: 18 + 12x + 3(5 + 5x) + 2 = 27x + 35 18 + 12x + (5 * 3 + 5x * 3) + 2 = 27x + 35 18 + 12x + (15 + 15x) + 2 = 27x + 35 Reorder the terms: 18 + 15 + 2 + 12x + 15x = 27x + 35 Combine like terms: 18 + 15 = 33 33 + 2 + 12x + 15x = 27x + 35 Combine like terms: 33 + 2 = 35 35 + 12x + 15x = 27x + 35 Combine like terms: 12x + 15x = 27x 35 + 27x = 27x + 35 Reorder the terms: 35 + 27x = 35 + 27x Add '-35' to each side of the equation. 35 + -35 + 27x = 35 + -35 + 27x Combine like terms: 35 + -35 = 0 0 + 27x = 35 + -35 + 27x 27x = 35 + -35 + 27x Combine like terms: 35 + -35 = 0 27x = 0 + 27x 27x = 27x Add '-27x' to each side of the equation. 27x + -27x = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 27x + -27x Combine like terms: 27x + -27x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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