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Simplifying 0.40x + 0.35(40) = 0.20(114) Multiply 0.35 * 40 0.40x + 14 = 0.20(114) Reorder the terms: 14 + 0.40x = 0.20(114) Multiply 0.20 * 114 14 + 0.40x = 22.8 Solving 14 + 0.40x = 22.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 0.40x = 22.8 + -14 Combine like terms: 14 + -14 = 0 0 + 0.40x = 22.8 + -14 0.40x = 22.8 + -14 Combine like terms: 22.8 + -14 = 8.8 0.40x = 8.8 Divide each side by '0.40'. x = 22 Simplifying x = 22
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