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Simplifying 12x + 23 = 2(3x + 8) + 6x + 7 Reorder the terms: 23 + 12x = 2(3x + 8) + 6x + 7 Reorder the terms: 23 + 12x = 2(8 + 3x) + 6x + 7 23 + 12x = (8 * 2 + 3x * 2) + 6x + 7 23 + 12x = (16 + 6x) + 6x + 7 Reorder the terms: 23 + 12x = 16 + 7 + 6x + 6x Combine like terms: 16 + 7 = 23 23 + 12x = 23 + 6x + 6x Combine like terms: 6x + 6x = 12x 23 + 12x = 23 + 12x Add '-23' to each side of the equation. 23 + -23 + 12x = 23 + -23 + 12x Combine like terms: 23 + -23 = 0 0 + 12x = 23 + -23 + 12x 12x = 23 + -23 + 12x Combine like terms: 23 + -23 = 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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