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Simplifying 1.6(12 + -6x) = 5(x + 4) (12 * 1.6 + -6x * 1.6) = 5(x + 4) (19.2 + -9.6x) = 5(x + 4) Reorder the terms: 19.2 + -9.6x = 5(4 + x) 19.2 + -9.6x = (4 * 5 + x * 5) 19.2 + -9.6x = (20 + 5x) Solving 19.2 + -9.6x = 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. 19.2 + -9.6x + -5x = 20 + 5x + -5x Combine like terms: -9.6x + -5x = -14.6x 19.2 + -14.6x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 19.2 + -14.6x = 20 + 0 19.2 + -14.6x = 20 Add '-19.2' to each side of the equation. 19.2 + -19.2 + -14.6x = 20 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + -14.6x = 20 + -19.2 -14.6x = 20 + -19.2 Combine like terms: 20 + -19.2 = 0.8 -14.6x = 0.8 Divide each side by '-14.6'. x = -0.05479452055 Simplifying x = -0.05479452055
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