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Simplifying 6(x + 2) = 3(2x + 7) + -9 Reorder the terms: 6(2 + x) = 3(2x + 7) + -9 (2 * 6 + x * 6) = 3(2x + 7) + -9 (12 + 6x) = 3(2x + 7) + -9 Reorder the terms: 12 + 6x = 3(7 + 2x) + -9 12 + 6x = (7 * 3 + 2x * 3) + -9 12 + 6x = (21 + 6x) + -9 Reorder the terms: 12 + 6x = 21 + -9 + 6x Combine like terms: 21 + -9 = 12 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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