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Simplifying 2(3x + 6) = 12x + 1 + -6x + 11 Reorder the terms: 2(6 + 3x) = 12x + 1 + -6x + 11 (6 * 2 + 3x * 2) = 12x + 1 + -6x + 11 (12 + 6x) = 12x + 1 + -6x + 11 Reorder the terms: 12 + 6x = 1 + 11 + 12x + -6x Combine like terms: 1 + 11 = 12 12 + 6x = 12 + 12x + -6x Combine like terms: 12x + -6x = 6x 12 + 6x = 12 + 6x Add '-12' to each side of the equation. 12 + -12 + 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 6x = 12 + -12 + 6x 6x = 12 + -12 + 6x Combine like terms: 12 + -12 = 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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