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Simplifying 3(x + 4) + 9 = 6 + 3(5 + x) Reorder the terms: 3(4 + x) + 9 = 6 + 3(5 + x) (4 * 3 + x * 3) + 9 = 6 + 3(5 + x) (12 + 3x) + 9 = 6 + 3(5 + x) Reorder the terms: 12 + 9 + 3x = 6 + 3(5 + x) Combine like terms: 12 + 9 = 21 21 + 3x = 6 + 3(5 + x) 21 + 3x = 6 + (5 * 3 + x * 3) 21 + 3x = 6 + (15 + 3x) Combine like terms: 6 + 15 = 21 21 + 3x = 21 + 3x Add '-21' to each side of the equation. 21 + -21 + 3x = 21 + -21 + 3x Combine like terms: 21 + -21 = 0 0 + 3x = 21 + -21 + 3x 3x = 21 + -21 + 3x Combine like terms: 21 + -21 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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