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Simplifying 0.20x + -0.08(x + -10) = 42.80 Reorder the terms: 0.20x + -0.08(-10 + x) = 42.80 0.20x + (-10 * -0.08 + x * -0.08) = 42.80 0.20x + (0.8 + -0.08x) = 42.80 Reorder the terms: 0.8 + 0.20x + -0.08x = 42.80 Combine like terms: 0.20x + -0.08x = 0.12x 0.8 + 0.12x = 42.80 Solving 0.8 + 0.12x = 42.80 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 + 0.12x = 42.80 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.12x = 42.80 + -0.8 0.12x = 42.80 + -0.8 Combine like terms: 42.80 + -0.8 = 42 0.12x = 42 Divide each side by '0.12'. x = 350 Simplifying x = 350
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