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Simplifying 3(3x + 3) + 6(2x + 6) + 2 = 21x + 47 Reorder the terms: 3(3 + 3x) + 6(2x + 6) + 2 = 21x + 47 (3 * 3 + 3x * 3) + 6(2x + 6) + 2 = 21x + 47 (9 + 9x) + 6(2x + 6) + 2 = 21x + 47 Reorder the terms: 9 + 9x + 6(6 + 2x) + 2 = 21x + 47 9 + 9x + (6 * 6 + 2x * 6) + 2 = 21x + 47 9 + 9x + (36 + 12x) + 2 = 21x + 47 Reorder the terms: 9 + 36 + 2 + 9x + 12x = 21x + 47 Combine like terms: 9 + 36 = 45 45 + 2 + 9x + 12x = 21x + 47 Combine like terms: 45 + 2 = 47 47 + 9x + 12x = 21x + 47 Combine like terms: 9x + 12x = 21x 47 + 21x = 21x + 47 Reorder the terms: 47 + 21x = 47 + 21x Add '-47' to each side of the equation. 47 + -47 + 21x = 47 + -47 + 21x Combine like terms: 47 + -47 = 0 0 + 21x = 47 + -47 + 21x 21x = 47 + -47 + 21x Combine like terms: 47 + -47 = 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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