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Simplifying 0.5x + -1(0.2x + -0.8) = 3.5 Reorder the terms: 0.5x + -1(-0.8 + 0.2x) = 3.5 0.5x + (-0.8 * -1 + 0.2x * -1) = 3.5 0.5x + (0.8 + -0.2x) = 3.5 Reorder the terms: 0.8 + 0.5x + -0.2x = 3.5 Combine like terms: 0.5x + -0.2x = 0.3x 0.8 + 0.3x = 3.5 Solving 0.8 + 0.3x = 3.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 0.3x = 3.5 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.3x = 3.5 + -0.8 0.3x = 3.5 + -0.8 Combine like terms: 3.5 + -0.8 = 2.7 0.3x = 2.7 Divide each side by '0.3'. x = 9 Simplifying x = 9
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