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Simplifying 0.8 + 5 = 0.2(40 + -1x) Combine like terms: 0.8 + 5 = 5.8 5.8 = 0.2(40 + -1x) 5.8 = (40 * 0.2 + -1x * 0.2) 5.8 = (8 + -0.2x) Solving 5.8 = 8 + -0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2x' to each side of the equation. 5.8 + 0.2x = 8 + -0.2x + 0.2x Combine like terms: -0.2x + 0.2x = 0.0 5.8 + 0.2x = 8 + 0.0 5.8 + 0.2x = 8 Add '-5.8' to each side of the equation. 5.8 + -5.8 + 0.2x = 8 + -5.8 Combine like terms: 5.8 + -5.8 = 0.0 0.0 + 0.2x = 8 + -5.8 0.2x = 8 + -5.8 Combine like terms: 8 + -5.8 = 2.2 0.2x = 2.2 Divide each side by '0.2'. x = 11 Simplifying x = 11
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