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Simplifying 7(3x + 1) + -4x = 3(5x + 1) + 2(x + 2) Reorder the terms: 7(1 + 3x) + -4x = 3(5x + 1) + 2(x + 2) (1 * 7 + 3x * 7) + -4x = 3(5x + 1) + 2(x + 2) (7 + 21x) + -4x = 3(5x + 1) + 2(x + 2) Combine like terms: 21x + -4x = 17x 7 + 17x = 3(5x + 1) + 2(x + 2) Reorder the terms: 7 + 17x = 3(1 + 5x) + 2(x + 2) 7 + 17x = (1 * 3 + 5x * 3) + 2(x + 2) 7 + 17x = (3 + 15x) + 2(x + 2) Reorder the terms: 7 + 17x = 3 + 15x + 2(2 + x) 7 + 17x = 3 + 15x + (2 * 2 + x * 2) 7 + 17x = 3 + 15x + (4 + 2x) Reorder the terms: 7 + 17x = 3 + 4 + 15x + 2x Combine like terms: 3 + 4 = 7 7 + 17x = 7 + 15x + 2x Combine like terms: 15x + 2x = 17x 7 + 17x = 7 + 17x Add '-7' to each side of the equation. 7 + -7 + 17x = 7 + -7 + 17x Combine like terms: 7 + -7 = 0 0 + 17x = 7 + -7 + 17x 17x = 7 + -7 + 17x Combine like terms: 7 + -7 = 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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