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Simplifying 0.33(12x + 27) + -8 = -0.2(45x + -25) Reorder the terms: 0.33(27 + 12x) + -8 = -0.2(45x + -25) (27 * 0.33 + 12x * 0.33) + -8 = -0.2(45x + -25) (8.91 + 3.96x) + -8 = -0.2(45x + -25) Reorder the terms: 8.91 + -8 + 3.96x = -0.2(45x + -25) Combine like terms: 8.91 + -8 = 0.91 0.91 + 3.96x = -0.2(45x + -25) Reorder the terms: 0.91 + 3.96x = -0.2(-25 + 45x) 0.91 + 3.96x = (-25 * -0.2 + 45x * -0.2) 0.91 + 3.96x = (5 + -9x) Solving 0.91 + 3.96x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 0.91 + 3.96x + 9x = 5 + -9x + 9x Combine like terms: 3.96x + 9x = 12.96x 0.91 + 12.96x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 0.91 + 12.96x = 5 + 0 0.91 + 12.96x = 5 Add '-0.91' to each side of the equation. 0.91 + -0.91 + 12.96x = 5 + -0.91 Combine like terms: 0.91 + -0.91 = 0.00 0.00 + 12.96x = 5 + -0.91 12.96x = 5 + -0.91 Combine like terms: 5 + -0.91 = 4.09 12.96x = 4.09 Divide each side by '12.96'. x = 0.3155864198 Simplifying x = 0.3155864198
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