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Simplifying 12x + 17 = 5(2x + 4) + 2x + -3 Reorder the terms: 17 + 12x = 5(2x + 4) + 2x + -3 Reorder the terms: 17 + 12x = 5(4 + 2x) + 2x + -3 17 + 12x = (4 * 5 + 2x * 5) + 2x + -3 17 + 12x = (20 + 10x) + 2x + -3 Reorder the terms: 17 + 12x = 20 + -3 + 10x + 2x Combine like terms: 20 + -3 = 17 17 + 12x = 17 + 10x + 2x Combine like terms: 10x + 2x = 12x 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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