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Simplifying 0.2(5 + -0.3x) = 0.16x + 0.208 (5 * 0.2 + -0.3x * 0.2) = 0.16x + 0.208 (1 + -0.06x) = 0.16x + 0.208 Reorder the terms: 1 + -0.06x = 0.208 + 0.16x Solving 1 + -0.06x = 0.208 + 0.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.16x' to each side of the equation. 1 + -0.06x + -0.16x = 0.208 + 0.16x + -0.16x Combine like terms: -0.06x + -0.16x = -0.22x 1 + -0.22x = 0.208 + 0.16x + -0.16x Combine like terms: 0.16x + -0.16x = 0.00 1 + -0.22x = 0.208 + 0.00 1 + -0.22x = 0.208 Add '-1' to each side of the equation. 1 + -1 + -0.22x = 0.208 + -1 Combine like terms: 1 + -1 = 0 0 + -0.22x = 0.208 + -1 -0.22x = 0.208 + -1 Combine like terms: 0.208 + -1 = -0.792 -0.22x = -0.792 Divide each side by '-0.22'. x = 3.6 Simplifying x = 3.6
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