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Simplifying 0.50x + 0.15(350 + -1x) = 0.40(350) 0.50x + (350 * 0.15 + -1x * 0.15) = 0.40(350) 0.50x + (52.5 + -0.15x) = 0.40(350) Reorder the terms: 52.5 + 0.50x + -0.15x = 0.40(350) Combine like terms: 0.50x + -0.15x = 0.35x 52.5 + 0.35x = 0.40(350) Multiply 0.40 * 350 52.5 + 0.35x = 140 Solving 52.5 + 0.35x = 140 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52.5' to each side of the equation. 52.5 + -52.5 + 0.35x = 140 + -52.5 Combine like terms: 52.5 + -52.5 = 0.0 0.0 + 0.35x = 140 + -52.5 0.35x = 140 + -52.5 Combine like terms: 140 + -52.5 = 87.5 0.35x = 87.5 Divide each side by '0.35'. x = 250 Simplifying x = 250
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