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Simplifying (0.2)(3x + 5) = 8 Reorder the terms: 0.2(5 + 3x) = 8 (5 * 0.2 + 3x * 0.2) = 8 (1 + 0.6x) = 8 Solving 1 + 0.6x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.6x = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = 8 + -1 0.6x = 8 + -1 Combine like terms: 8 + -1 = 7 0.6x = 7 Divide each side by '0.6'. x = 11.66666667 Simplifying x = 11.66666667
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