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Simplifying 0.1(80) = 0.6(50 + x) + -0.8 Multiply 0.1 * 80 8 = 0.6(50 + x) + -0.8 8 = (50 * 0.6 + x * 0.6) + -0.8 8 = (30 + 0.6x) + -0.8 Reorder the terms: 8 = 30 + -0.8 + 0.6x Combine like terms: 30 + -0.8 = 29.2 8 = 29.2 + 0.6x Solving 8 = 29.2 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 8 + -0.6x = 29.2 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 8 + -0.6x = 29.2 + 0.0 8 + -0.6x = 29.2 Add '-8' to each side of the equation. 8 + -8 + -0.6x = 29.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.6x = 29.2 + -8 -0.6x = 29.2 + -8 Combine like terms: 29.2 + -8 = 21.2 -0.6x = 21.2 Divide each side by '-0.6'. x = -35.33333333 Simplifying x = -35.33333333
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