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Simplifying 3(4x + 1) = 17x + 2 + -5x + 1 Reorder the terms: 3(1 + 4x) = 17x + 2 + -5x + 1 (1 * 3 + 4x * 3) = 17x + 2 + -5x + 1 (3 + 12x) = 17x + 2 + -5x + 1 Reorder the terms: 3 + 12x = 2 + 1 + 17x + -5x Combine like terms: 2 + 1 = 3 3 + 12x = 3 + 17x + -5x Combine like terms: 17x + -5x = 12x 3 + 12x = 3 + 12x Add '-3' to each side of the equation. 3 + -3 + 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 0 + 12x = 3 + -3 + 12x 12x = 3 + -3 + 12x Combine like terms: 3 + -3 = 0 12x = 0 + 12x 12x = 12x Add '-12x' to each side of the equation. 12x + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 0 = 12x + -12x Combine like terms: 12x + -12x = 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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