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Simplifying 12x + 15 = 2(5x + 9) + 2x + -3 Reorder the terms: 15 + 12x = 2(5x + 9) + 2x + -3 Reorder the terms: 15 + 12x = 2(9 + 5x) + 2x + -3 15 + 12x = (9 * 2 + 5x * 2) + 2x + -3 15 + 12x = (18 + 10x) + 2x + -3 Reorder the terms: 15 + 12x = 18 + -3 + 10x + 2x Combine like terms: 18 + -3 = 15 15 + 12x = 15 + 10x + 2x Combine like terms: 10x + 2x = 12x 15 + 12x = 15 + 12x Add '-15' to each side of the equation. 15 + -15 + 12x = 15 + -15 + 12x Combine like terms: 15 + -15 = 0 0 + 12x = 15 + -15 + 12x 12x = 15 + -15 + 12x Combine like terms: 15 + -15 = 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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