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Simplifying 0.16(12 + -6x) = 5(x + 4) (12 * 0.16 + -6x * 0.16) = 5(x + 4) (1.92 + -0.96x) = 5(x + 4) Reorder the terms: 1.92 + -0.96x = 5(4 + x) 1.92 + -0.96x = (4 * 5 + x * 5) 1.92 + -0.96x = (20 + 5x) Solving 1.92 + -0.96x = 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. 1.92 + -0.96x + -5x = 20 + 5x + -5x Combine like terms: -0.96x + -5x = -5.96x 1.92 + -5.96x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 1.92 + -5.96x = 20 + 0 1.92 + -5.96x = 20 Add '-1.92' to each side of the equation. 1.92 + -1.92 + -5.96x = 20 + -1.92 Combine like terms: 1.92 + -1.92 = 0.00 0.00 + -5.96x = 20 + -1.92 -5.96x = 20 + -1.92 Combine like terms: 20 + -1.92 = 18.08 -5.96x = 18.08 Divide each side by '-5.96'. x = -3.033557047 Simplifying x = -3.033557047
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