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Simplifying 0.40x + 0.30(150) = 0.20(145) Multiply 0.30 * 150 0.40x + 45 = 0.20(145) Reorder the terms: 45 + 0.40x = 0.20(145) Multiply 0.20 * 145 45 + 0.40x = 29 Solving 45 + 0.40x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 0.40x = 29 + -45 Combine like terms: 45 + -45 = 0 0 + 0.40x = 29 + -45 0.40x = 29 + -45 Combine like terms: 29 + -45 = -16 0.40x = -16 Divide each side by '0.40'. x = -40 Simplifying x = -40
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