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Simplifying -0.2(1 + -1x) = 2(4 + 0.1) (1 * -0.2 + -1x * -0.2) = 2(4 + 0.1) (-0.2 + 0.2x) = 2(4 + 0.1) Combine like terms: 4 + 0.1 = 4.1 -0.2 + 0.2x = 2(4.1) Multiply 2 * 4.1 -0.2 + 0.2x = 8.2 Solving -0.2 + 0.2x = 8.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.2x = 8.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.2x = 8.2 + 0.2 0.2x = 8.2 + 0.2 Combine like terms: 8.2 + 0.2 = 8.4 0.2x = 8.4 Divide each side by '0.2'. x = 42 Simplifying x = 42
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