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Simplifying 0.20 + 0.60(400) = 0.30(400 + x) Multiply 0.60 * 400 0.20 + 240 = 0.30(400 + x) Combine like terms: 0.20 + 240 = 240.2 240.2 = 0.30(400 + x) 240.2 = (400 * 0.30 + x * 0.30) 240.2 = (120 + 0.30x) Solving 240.2 = 120 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 240.2 + -0.30x = 120 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 240.2 + -0.30x = 120 + 0.00 240.2 + -0.30x = 120 Add '-240.2' to each side of the equation. 240.2 + -240.2 + -0.30x = 120 + -240.2 Combine like terms: 240.2 + -240.2 = 0.0 0.0 + -0.30x = 120 + -240.2 -0.30x = 120 + -240.2 Combine like terms: 120 + -240.2 = -120.2 -0.30x = -120.2 Divide each side by '-0.30'. x = 400.6666667 Simplifying x = 400.6666667
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