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Simplifying 2(3x + 5) = 12x + 3 + -6x + 7 Reorder the terms: 2(5 + 3x) = 12x + 3 + -6x + 7 (5 * 2 + 3x * 2) = 12x + 3 + -6x + 7 (10 + 6x) = 12x + 3 + -6x + 7 Reorder the terms: 10 + 6x = 3 + 7 + 12x + -6x Combine like terms: 3 + 7 = 10 10 + 6x = 10 + 12x + -6x Combine like terms: 12x + -6x = 6x 10 + 6x = 10 + 6x Add '-10' to each side of the equation. 10 + -10 + 6x = 10 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + 6x = 10 + -10 + 6x 6x = 10 + -10 + 6x Combine like terms: 10 + -10 = 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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