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Simplifying 0.2(12 + -6x) = 5(x + 4) (12 * 0.2 + -6x * 0.2) = 5(x + 4) (2.4 + -1.2x) = 5(x + 4) Reorder the terms: 2.4 + -1.2x = 5(4 + x) 2.4 + -1.2x = (4 * 5 + x * 5) 2.4 + -1.2x = (20 + 5x) Solving 2.4 + -1.2x = 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. 2.4 + -1.2x + -5x = 20 + 5x + -5x Combine like terms: -1.2x + -5x = -6.2x 2.4 + -6.2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 2.4 + -6.2x = 20 + 0 2.4 + -6.2x = 20 Add '-2.4' to each side of the equation. 2.4 + -2.4 + -6.2x = 20 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -6.2x = 20 + -2.4 -6.2x = 20 + -2.4 Combine like terms: 20 + -2.4 = 17.6 -6.2x = 17.6 Divide each side by '-6.2'. x = -2.838709677 Simplifying x = -2.838709677
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