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Simplifying 3(x + 9) = x + 2(x + 5) + 17 Reorder the terms: 3(9 + x) = x + 2(x + 5) + 17 (9 * 3 + x * 3) = x + 2(x + 5) + 17 (27 + 3x) = x + 2(x + 5) + 17 Reorder the terms: 27 + 3x = x + 2(5 + x) + 17 27 + 3x = x + (5 * 2 + x * 2) + 17 27 + 3x = x + (10 + 2x) + 17 Reorder the terms: 27 + 3x = 10 + 17 + x + 2x Combine like terms: 10 + 17 = 27 27 + 3x = 27 + x + 2x Combine like terms: x + 2x = 3x 27 + 3x = 27 + 3x Add '-27' to each side of the equation. 27 + -27 + 3x = 27 + -27 + 3x Combine like terms: 27 + -27 = 0 0 + 3x = 27 + -27 + 3x 3x = 27 + -27 + 3x Combine like terms: 27 + -27 = 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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