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Simplifying 21x + 30 = 3(5x + 8) + 6x + 6 Reorder the terms: 30 + 21x = 3(5x + 8) + 6x + 6 Reorder the terms: 30 + 21x = 3(8 + 5x) + 6x + 6 30 + 21x = (8 * 3 + 5x * 3) + 6x + 6 30 + 21x = (24 + 15x) + 6x + 6 Reorder the terms: 30 + 21x = 24 + 6 + 15x + 6x Combine like terms: 24 + 6 = 30 30 + 21x = 30 + 15x + 6x Combine like terms: 15x + 6x = 21x 30 + 21x = 30 + 21x Add '-30' to each side of the equation. 30 + -30 + 21x = 30 + -30 + 21x Combine like terms: 30 + -30 = 0 0 + 21x = 30 + -30 + 21x 21x = 30 + -30 + 21x Combine like terms: 30 + -30 = 0 21x = 0 + 21x 21x = 21x Add '-21x' to each side of the equation. 21x + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 0 = 21x + -21x Combine like terms: 21x + -21x = 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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