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Simplifying 9(x + 1) = 3(3x + 7) + -12 Reorder the terms: 9(1 + x) = 3(3x + 7) + -12 (1 * 9 + x * 9) = 3(3x + 7) + -12 (9 + 9x) = 3(3x + 7) + -12 Reorder the terms: 9 + 9x = 3(7 + 3x) + -12 9 + 9x = (7 * 3 + 3x * 3) + -12 9 + 9x = (21 + 9x) + -12 Reorder the terms: 9 + 9x = 21 + -12 + 9x Combine like terms: 21 + -12 = 9 9 + 9x = 9 + 9x Add '-9' to each side of the equation. 9 + -9 + 9x = 9 + -9 + 9x Combine like terms: 9 + -9 = 0 0 + 9x = 9 + -9 + 9x 9x = 9 + -9 + 9x Combine like terms: 9 + -9 = 0 9x = 0 + 9x 9x = 9x Add '-9x' to each side of the equation. 9x + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 0 = 9x + -9x Combine like terms: 9x + -9x = 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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