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Simplifying 0.1x + -0.1(5 + -1x) = 0.8 0.1x + (5 * -0.1 + -1x * -0.1) = 0.8 0.1x + (-0.5 + 0.1x) = 0.8 Reorder the terms: -0.5 + 0.1x + 0.1x = 0.8 Combine like terms: 0.1x + 0.1x = 0.2x -0.5 + 0.2x = 0.8 Solving -0.5 + 0.2x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.2x = 0.8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.2x = 0.8 + 0.5 0.2x = 0.8 + 0.5 Combine like terms: 0.8 + 0.5 = 1.3 0.2x = 1.3 Divide each side by '0.2'. x = 6.5 Simplifying x = 6.5
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