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Simplifying 0.30x + 0.60(300) = 0.40(x + 300) Multiply 0.60 * 300 0.30x + 180 = 0.40(x + 300) Reorder the terms: 180 + 0.30x = 0.40(x + 300) Reorder the terms: 180 + 0.30x = 0.40(300 + x) 180 + 0.30x = (300 * 0.40 + x * 0.40) 180 + 0.30x = (120 + 0.40x) Solving 180 + 0.30x = 120 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 180 + 0.30x + -0.40x = 120 + 0.40x + -0.40x Combine like terms: 0.30x + -0.40x = -0.1x 180 + -0.1x = 120 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 180 + -0.1x = 120 + 0.00 180 + -0.1x = 120 Add '-180' to each side of the equation. 180 + -180 + -0.1x = 120 + -180 Combine like terms: 180 + -180 = 0 0 + -0.1x = 120 + -180 -0.1x = 120 + -180 Combine like terms: 120 + -180 = -60 -0.1x = -60 Divide each side by '-0.1'. x = 600 Simplifying x = 600
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