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