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