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Simplifying 3(5x + 5) + 5(6x + 6) + 6 = 45x + 51 Reorder the terms: 3(5 + 5x) + 5(6x + 6) + 6 = 45x + 51 (5 * 3 + 5x * 3) + 5(6x + 6) + 6 = 45x + 51 (15 + 15x) + 5(6x + 6) + 6 = 45x + 51 Reorder the terms: 15 + 15x + 5(6 + 6x) + 6 = 45x + 51 15 + 15x + (6 * 5 + 6x * 5) + 6 = 45x + 51 15 + 15x + (30 + 30x) + 6 = 45x + 51 Reorder the terms: 15 + 30 + 6 + 15x + 30x = 45x + 51 Combine like terms: 15 + 30 = 45 45 + 6 + 15x + 30x = 45x + 51 Combine like terms: 45 + 6 = 51 51 + 15x + 30x = 45x + 51 Combine like terms: 15x + 30x = 45x 51 + 45x = 45x + 51 Reorder the terms: 51 + 45x = 51 + 45x Add '-51' to each side of the equation. 51 + -51 + 45x = 51 + -51 + 45x Combine like terms: 51 + -51 = 0 0 + 45x = 51 + -51 + 45x 45x = 51 + -51 + 45x Combine like terms: 51 + -51 = 0 45x = 0 + 45x 45x = 45x Add '-45x' to each side of the equation. 45x + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 0 = 45x + -45x Combine like terms: 45x + -45x = 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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