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Simplifying 5x + 12 + 2x + 9 = (5x + 12) + (2x + 9) Reorder the terms: 12 + 9 + 5x + 2x = (5x + 12) + (2x + 9) Combine like terms: 12 + 9 = 21 21 + 5x + 2x = (5x + 12) + (2x + 9) Combine like terms: 5x + 2x = 7x 21 + 7x = (5x + 12) + (2x + 9) Reorder the terms: 21 + 7x = (12 + 5x) + (2x + 9) Remove parenthesis around (12 + 5x) 21 + 7x = 12 + 5x + (2x + 9) Reorder the terms: 21 + 7x = 12 + 5x + (9 + 2x) Remove parenthesis around (9 + 2x) 21 + 7x = 12 + 5x + 9 + 2x Reorder the terms: 21 + 7x = 12 + 9 + 5x + 2x Combine like terms: 12 + 9 = 21 21 + 7x = 21 + 5x + 2x Combine like terms: 5x + 2x = 7x 21 + 7x = 21 + 7x Add '-21' to each side of the equation. 21 + -21 + 7x = 21 + -21 + 7x Combine like terms: 21 + -21 = 0 0 + 7x = 21 + -21 + 7x 7x = 21 + -21 + 7x Combine like terms: 21 + -21 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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