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Simplifying 2(4x + 1) = 12x + 1 + -4x + 1 Reorder the terms: 2(1 + 4x) = 12x + 1 + -4x + 1 (1 * 2 + 4x * 2) = 12x + 1 + -4x + 1 (2 + 8x) = 12x + 1 + -4x + 1 Reorder the terms: 2 + 8x = 1 + 1 + 12x + -4x Combine like terms: 1 + 1 = 2 2 + 8x = 2 + 12x + -4x Combine like terms: 12x + -4x = 8x 2 + 8x = 2 + 8x Add '-2' to each side of the equation. 2 + -2 + 8x = 2 + -2 + 8x Combine like terms: 2 + -2 = 0 0 + 8x = 2 + -2 + 8x 8x = 2 + -2 + 8x Combine like terms: 2 + -2 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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