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Simplifying 9(x + 1) + 8x + 1 = 3(3x + 2) + 4(2x + 1) Reorder the terms: 9(1 + x) + 8x + 1 = 3(3x + 2) + 4(2x + 1) (1 * 9 + x * 9) + 8x + 1 = 3(3x + 2) + 4(2x + 1) (9 + 9x) + 8x + 1 = 3(3x + 2) + 4(2x + 1) Reorder the terms: 9 + 1 + 9x + 8x = 3(3x + 2) + 4(2x + 1) Combine like terms: 9 + 1 = 10 10 + 9x + 8x = 3(3x + 2) + 4(2x + 1) Combine like terms: 9x + 8x = 17x 10 + 17x = 3(3x + 2) + 4(2x + 1) Reorder the terms: 10 + 17x = 3(2 + 3x) + 4(2x + 1) 10 + 17x = (2 * 3 + 3x * 3) + 4(2x + 1) 10 + 17x = (6 + 9x) + 4(2x + 1) Reorder the terms: 10 + 17x = 6 + 9x + 4(1 + 2x) 10 + 17x = 6 + 9x + (1 * 4 + 2x * 4) 10 + 17x = 6 + 9x + (4 + 8x) Reorder the terms: 10 + 17x = 6 + 4 + 9x + 8x Combine like terms: 6 + 4 = 10 10 + 17x = 10 + 9x + 8x Combine like terms: 9x + 8x = 17x 10 + 17x = 10 + 17x Add '-10' to each side of the equation. 10 + -10 + 17x = 10 + -10 + 17x Combine like terms: 10 + -10 = 0 0 + 17x = 10 + -10 + 17x 17x = 10 + -10 + 17x Combine like terms: 10 + -10 = 0 17x = 0 + 17x 17x = 17x Add '-17x' to each side of the equation. 17x + -17x = 17x + -17x Combine like terms: 17x + -17x = 0 0 = 17x + -17x Combine like terms: 17x + -17x = 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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