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Simplifying 3(4x + 5) + 2 = 12x + 17 Reorder the terms: 3(5 + 4x) + 2 = 12x + 17 (5 * 3 + 4x * 3) + 2 = 12x + 17 (15 + 12x) + 2 = 12x + 17 Reorder the terms: 15 + 2 + 12x = 12x + 17 Combine like terms: 15 + 2 = 17 17 + 12x = 12x + 17 Reorder the terms: 17 + 12x = 17 + 12x Add '-17' to each side of the equation. 17 + -17 + 12x = 17 + -17 + 12x Combine like terms: 17 + -17 = 0 0 + 12x = 17 + -17 + 12x 12x = 17 + -17 + 12x Combine like terms: 17 + -17 = 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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