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Simplifying 7(3x + 5) = 9(x + 3) + 8 + 12x Reorder the terms: 7(5 + 3x) = 9(x + 3) + 8 + 12x (5 * 7 + 3x * 7) = 9(x + 3) + 8 + 12x (35 + 21x) = 9(x + 3) + 8 + 12x Reorder the terms: 35 + 21x = 9(3 + x) + 8 + 12x 35 + 21x = (3 * 9 + x * 9) + 8 + 12x 35 + 21x = (27 + 9x) + 8 + 12x Reorder the terms: 35 + 21x = 27 + 8 + 9x + 12x Combine like terms: 27 + 8 = 35 35 + 21x = 35 + 9x + 12x Combine like terms: 9x + 12x = 21x 35 + 21x = 35 + 21x Add '-35' to each side of the equation. 35 + -35 + 21x = 35 + -35 + 21x Combine like terms: 35 + -35 = 0 0 + 21x = 35 + -35 + 21x 21x = 35 + -35 + 21x Combine like terms: 35 + -35 = 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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