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Simplifying 16.6(12 + -6x) = 5(x + 4) (12 * 16.6 + -6x * 16.6) = 5(x + 4) (199.2 + -99.6x) = 5(x + 4) Reorder the terms: 199.2 + -99.6x = 5(4 + x) 199.2 + -99.6x = (4 * 5 + x * 5) 199.2 + -99.6x = (20 + 5x) Solving 199.2 + -99.6x = 20 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 199.2 + -99.6x + -5x = 20 + 5x + -5x Combine like terms: -99.6x + -5x = -104.6x 199.2 + -104.6x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 199.2 + -104.6x = 20 + 0 199.2 + -104.6x = 20 Add '-199.2' to each side of the equation. 199.2 + -199.2 + -104.6x = 20 + -199.2 Combine like terms: 199.2 + -199.2 = 0.0 0.0 + -104.6x = 20 + -199.2 -104.6x = 20 + -199.2 Combine like terms: 20 + -199.2 = -179.2 -104.6x = -179.2 Divide each side by '-104.6'. x = 1.713193117 Simplifying x = 1.713193117
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