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Simplifying 12(9x + -36) = 12(6x + 6) Reorder the terms: 12(-36 + 9x) = 12(6x + 6) (-36 * 12 + 9x * 12) = 12(6x + 6) (-432 + 108x) = 12(6x + 6) Reorder the terms: -432 + 108x = 12(6 + 6x) -432 + 108x = (6 * 12 + 6x * 12) -432 + 108x = (72 + 72x) Solving -432 + 108x = 72 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -432 + 108x + -72x = 72 + 72x + -72x Combine like terms: 108x + -72x = 36x -432 + 36x = 72 + 72x + -72x Combine like terms: 72x + -72x = 0 -432 + 36x = 72 + 0 -432 + 36x = 72 Add '432' to each side of the equation. -432 + 432 + 36x = 72 + 432 Combine like terms: -432 + 432 = 0 0 + 36x = 72 + 432 36x = 72 + 432 Combine like terms: 72 + 432 = 504 36x = 504 Divide each side by '36'. x = 14 Simplifying x = 14
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