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