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Simplifying 7(x + 2) + x + 3 = 2(4x + 5) + 7 Reorder the terms: 7(2 + x) + x + 3 = 2(4x + 5) + 7 (2 * 7 + x * 7) + x + 3 = 2(4x + 5) + 7 (14 + 7x) + x + 3 = 2(4x + 5) + 7 Reorder the terms: 14 + 3 + 7x + x = 2(4x + 5) + 7 Combine like terms: 14 + 3 = 17 17 + 7x + x = 2(4x + 5) + 7 Combine like terms: 7x + x = 8x 17 + 8x = 2(4x + 5) + 7 Reorder the terms: 17 + 8x = 2(5 + 4x) + 7 17 + 8x = (5 * 2 + 4x * 2) + 7 17 + 8x = (10 + 8x) + 7 Reorder the terms: 17 + 8x = 10 + 7 + 8x Combine like terms: 10 + 7 = 17 17 + 8x = 17 + 8x Add '-17' to each side of the equation. 17 + -17 + 8x = 17 + -17 + 8x Combine like terms: 17 + -17 = 0 0 + 8x = 17 + -17 + 8x 8x = 17 + -17 + 8x Combine like terms: 17 + -17 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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