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Simplifying 6x + -3x + 17 = 3(x + 5) + 2 Reorder the terms: 17 + 6x + -3x = 3(x + 5) + 2 Combine like terms: 6x + -3x = 3x 17 + 3x = 3(x + 5) + 2 Reorder the terms: 17 + 3x = 3(5 + x) + 2 17 + 3x = (5 * 3 + x * 3) + 2 17 + 3x = (15 + 3x) + 2 Reorder the terms: 17 + 3x = 15 + 2 + 3x Combine like terms: 15 + 2 = 17 17 + 3x = 17 + 3x Add '-17' to each side of the equation. 17 + -17 + 3x = 17 + -17 + 3x Combine like terms: 17 + -17 = 0 0 + 3x = 17 + -17 + 3x 3x = 17 + -17 + 3x Combine like terms: 17 + -17 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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