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Simplifying 3x + 2(x + 5) + 7 = 11 + 5x + 6 Reorder the terms: 3x + 2(5 + x) + 7 = 11 + 5x + 6 3x + (5 * 2 + x * 2) + 7 = 11 + 5x + 6 3x + (10 + 2x) + 7 = 11 + 5x + 6 Reorder the terms: 10 + 7 + 3x + 2x = 11 + 5x + 6 Combine like terms: 10 + 7 = 17 17 + 3x + 2x = 11 + 5x + 6 Combine like terms: 3x + 2x = 5x 17 + 5x = 11 + 5x + 6 Reorder the terms: 17 + 5x = 11 + 6 + 5x Combine like terms: 11 + 6 = 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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