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Simplifying 5(3x + 5) + 5(3x + 2) + 6 = 30x + 41 Reorder the terms: 5(5 + 3x) + 5(3x + 2) + 6 = 30x + 41 (5 * 5 + 3x * 5) + 5(3x + 2) + 6 = 30x + 41 (25 + 15x) + 5(3x + 2) + 6 = 30x + 41 Reorder the terms: 25 + 15x + 5(2 + 3x) + 6 = 30x + 41 25 + 15x + (2 * 5 + 3x * 5) + 6 = 30x + 41 25 + 15x + (10 + 15x) + 6 = 30x + 41 Reorder the terms: 25 + 10 + 6 + 15x + 15x = 30x + 41 Combine like terms: 25 + 10 = 35 35 + 6 + 15x + 15x = 30x + 41 Combine like terms: 35 + 6 = 41 41 + 15x + 15x = 30x + 41 Combine like terms: 15x + 15x = 30x 41 + 30x = 30x + 41 Reorder the terms: 41 + 30x = 41 + 30x Add '-41' to each side of the equation. 41 + -41 + 30x = 41 + -41 + 30x Combine like terms: 41 + -41 = 0 0 + 30x = 41 + -41 + 30x 30x = 41 + -41 + 30x Combine like terms: 41 + -41 = 0 30x = 0 + 30x 30x = 30x Add '-30x' to each side of the equation. 30x + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 0 = 30x + -30x Combine like terms: 30x + -30x = 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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