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Simplifying 6(6x + 5) + 5(3x + 2) + 6 = 51x + 46 Reorder the terms: 6(5 + 6x) + 5(3x + 2) + 6 = 51x + 46 (5 * 6 + 6x * 6) + 5(3x + 2) + 6 = 51x + 46 (30 + 36x) + 5(3x + 2) + 6 = 51x + 46 Reorder the terms: 30 + 36x + 5(2 + 3x) + 6 = 51x + 46 30 + 36x + (2 * 5 + 3x * 5) + 6 = 51x + 46 30 + 36x + (10 + 15x) + 6 = 51x + 46 Reorder the terms: 30 + 10 + 6 + 36x + 15x = 51x + 46 Combine like terms: 30 + 10 = 40 40 + 6 + 36x + 15x = 51x + 46 Combine like terms: 40 + 6 = 46 46 + 36x + 15x = 51x + 46 Combine like terms: 36x + 15x = 51x 46 + 51x = 51x + 46 Reorder the terms: 46 + 51x = 46 + 51x Add '-46' to each side of the equation. 46 + -46 + 51x = 46 + -46 + 51x Combine like terms: 46 + -46 = 0 0 + 51x = 46 + -46 + 51x 51x = 46 + -46 + 51x Combine like terms: 46 + -46 = 0 51x = 0 + 51x 51x = 51x Add '-51x' to each side of the equation. 51x + -51x = 51x + -51x Combine like terms: 51x + -51x = 0 0 = 51x + -51x Combine like terms: 51x + -51x = 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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