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Simplifying 0.33(10x + 27) = -0.2(18.33x + 25) Reorder the terms: 0.33(27 + 10x) = -0.2(18.33x + 25) (27 * 0.33 + 10x * 0.33) = -0.2(18.33x + 25) (8.91 + 3.3x) = -0.2(18.33x + 25) Reorder the terms: 8.91 + 3.3x = -0.2(25 + 18.33x) 8.91 + 3.3x = (25 * -0.2 + 18.33x * -0.2) 8.91 + 3.3x = (-5 + -3.666x) Solving 8.91 + 3.3x = -5 + -3.666x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.666x' to each side of the equation. 8.91 + 3.3x + 3.666x = -5 + -3.666x + 3.666x Combine like terms: 3.3x + 3.666x = 6.966x 8.91 + 6.966x = -5 + -3.666x + 3.666x Combine like terms: -3.666x + 3.666x = 0.000 8.91 + 6.966x = -5 + 0.000 8.91 + 6.966x = -5 Add '-8.91' to each side of the equation. 8.91 + -8.91 + 6.966x = -5 + -8.91 Combine like terms: 8.91 + -8.91 = 0.00 0.00 + 6.966x = -5 + -8.91 6.966x = -5 + -8.91 Combine like terms: -5 + -8.91 = -13.91 6.966x = -13.91 Divide each side by '6.966'. x = -1.996841803 Simplifying x = -1.996841803
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