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Simplifying 3(4x + 7) = 21x + 9 + -9x + 12 Reorder the terms: 3(7 + 4x) = 21x + 9 + -9x + 12 (7 * 3 + 4x * 3) = 21x + 9 + -9x + 12 (21 + 12x) = 21x + 9 + -9x + 12 Reorder the terms: 21 + 12x = 9 + 12 + 21x + -9x Combine like terms: 9 + 12 = 21 21 + 12x = 21 + 21x + -9x Combine like terms: 21x + -9x = 12x 21 + 12x = 21 + 12x Add '-21' to each side of the equation. 21 + -21 + 12x = 21 + -21 + 12x Combine like terms: 21 + -21 = 0 0 + 12x = 21 + -21 + 12x 12x = 21 + -21 + 12x Combine like terms: 21 + -21 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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