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Simplifying 12(3x + -1) = 9(3x + 1) + 60 Reorder the terms: 12(-1 + 3x) = 9(3x + 1) + 60 (-1 * 12 + 3x * 12) = 9(3x + 1) + 60 (-12 + 36x) = 9(3x + 1) + 60 Reorder the terms: -12 + 36x = 9(1 + 3x) + 60 -12 + 36x = (1 * 9 + 3x * 9) + 60 -12 + 36x = (9 + 27x) + 60 Reorder the terms: -12 + 36x = 9 + 60 + 27x Combine like terms: 9 + 60 = 69 -12 + 36x = 69 + 27x Solving -12 + 36x = 69 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -12 + 36x + -27x = 69 + 27x + -27x Combine like terms: 36x + -27x = 9x -12 + 9x = 69 + 27x + -27x Combine like terms: 27x + -27x = 0 -12 + 9x = 69 + 0 -12 + 9x = 69 Add '12' to each side of the equation. -12 + 12 + 9x = 69 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 69 + 12 9x = 69 + 12 Combine like terms: 69 + 12 = 81 9x = 81 Divide each side by '9'. x = 9 Simplifying x = 9
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