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Simplifying 0.80x + 0.5(20 + -1x) = 0.10(40) 0.80x + (20 * 0.5 + -1x * 0.5) = 0.10(40) 0.80x + (10 + -0.5x) = 0.10(40) Reorder the terms: 10 + 0.80x + -0.5x = 0.10(40) Combine like terms: 0.80x + -0.5x = 0.3x 10 + 0.3x = 0.10(40) Multiply 0.10 * 40 10 + 0.3x = 4 Solving 10 + 0.3x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 0.3x = 4 + -10 Combine like terms: 10 + -10 = 0 0 + 0.3x = 4 + -10 0.3x = 4 + -10 Combine like terms: 4 + -10 = -6 0.3x = -6 Divide each side by '0.3'. x = -20 Simplifying x = -20
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