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Simplifying 72(11x + 10) = 9(94x + 38) Reorder the terms: 72(10 + 11x) = 9(94x + 38) (10 * 72 + 11x * 72) = 9(94x + 38) (720 + 792x) = 9(94x + 38) Reorder the terms: 720 + 792x = 9(38 + 94x) 720 + 792x = (38 * 9 + 94x * 9) 720 + 792x = (342 + 846x) Solving 720 + 792x = 342 + 846x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-846x' to each side of the equation. 720 + 792x + -846x = 342 + 846x + -846x Combine like terms: 792x + -846x = -54x 720 + -54x = 342 + 846x + -846x Combine like terms: 846x + -846x = 0 720 + -54x = 342 + 0 720 + -54x = 342 Add '-720' to each side of the equation. 720 + -720 + -54x = 342 + -720 Combine like terms: 720 + -720 = 0 0 + -54x = 342 + -720 -54x = 342 + -720 Combine like terms: 342 + -720 = -378 -54x = -378 Divide each side by '-54'. x = 7 Simplifying x = 7
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