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Simplifying 0.20x + 0.5(4 + -1x) = 0.10(5) 0.20x + (4 * 0.5 + -1x * 0.5) = 0.10(5) 0.20x + (2 + -0.5x) = 0.10(5) Reorder the terms: 2 + 0.20x + -0.5x = 0.10(5) Combine like terms: 0.20x + -0.5x = -0.3x 2 + -0.3x = 0.10(5) Multiply 0.10 * 5 2 + -0.3x = 0.5 Solving 2 + -0.3x = 0.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -0.3x = 0.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.3x = 0.5 + -2 -0.3x = 0.5 + -2 Combine like terms: 0.5 + -2 = -1.5 -0.3x = -1.5 Divide each side by '-0.3'. x = 5 Simplifying x = 5
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