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Simplifying 0.30x + 0.70(300) = 40(300 + x) Multiply 0.70 * 300 0.30x + 210 = 40(300 + x) Reorder the terms: 210 + 0.30x = 40(300 + x) 210 + 0.30x = (300 * 40 + x * 40) 210 + 0.30x = (12000 + 40x) Solving 210 + 0.30x = 12000 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 210 + 0.30x + -40x = 12000 + 40x + -40x Combine like terms: 0.30x + -40x = -39.7x 210 + -39.7x = 12000 + 40x + -40x Combine like terms: 40x + -40x = 0 210 + -39.7x = 12000 + 0 210 + -39.7x = 12000 Add '-210' to each side of the equation. 210 + -210 + -39.7x = 12000 + -210 Combine like terms: 210 + -210 = 0 0 + -39.7x = 12000 + -210 -39.7x = 12000 + -210 Combine like terms: 12000 + -210 = 11790 -39.7x = 11790 Divide each side by '-39.7'. x = -296.97733 Simplifying x = -296.97733
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