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Simplifying 0.66(6x + 9) = 0.25(12x + 8) Reorder the terms: 0.66(9 + 6x) = 0.25(12x + 8) (9 * 0.66 + 6x * 0.66) = 0.25(12x + 8) (5.94 + 3.96x) = 0.25(12x + 8) Reorder the terms: 5.94 + 3.96x = 0.25(8 + 12x) 5.94 + 3.96x = (8 * 0.25 + 12x * 0.25) 5.94 + 3.96x = (2 + 3x) Solving 5.94 + 3.96x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5.94 + 3.96x + -3x = 2 + 3x + -3x Combine like terms: 3.96x + -3x = 0.96x 5.94 + 0.96x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 5.94 + 0.96x = 2 + 0 5.94 + 0.96x = 2 Add '-5.94' to each side of the equation. 5.94 + -5.94 + 0.96x = 2 + -5.94 Combine like terms: 5.94 + -5.94 = 0.00 0.00 + 0.96x = 2 + -5.94 0.96x = 2 + -5.94 Combine like terms: 2 + -5.94 = -3.94 0.96x = -3.94 Divide each side by '0.96'. x = -4.104166667 Simplifying x = -4.104166667
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