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Simplifying 2(3x + 4) = 12x + 1 + -6x + 7 Reorder the terms: 2(4 + 3x) = 12x + 1 + -6x + 7 (4 * 2 + 3x * 2) = 12x + 1 + -6x + 7 (8 + 6x) = 12x + 1 + -6x + 7 Reorder the terms: 8 + 6x = 1 + 7 + 12x + -6x Combine like terms: 1 + 7 = 8 8 + 6x = 8 + 12x + -6x Combine like terms: 12x + -6x = 6x 8 + 6x = 8 + 6x Add '-8' to each side of the equation. 8 + -8 + 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 0 + 6x = 8 + -8 + 6x 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 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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