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Simplifying 0.40x + 0.30(40) = 0.20(70) Multiply 0.30 * 40 0.40x + 12 = 0.20(70) Reorder the terms: 12 + 0.40x = 0.20(70) Multiply 0.20 * 70 12 + 0.40x = 14 Solving 12 + 0.40x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 0.40x = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 0.40x = 14 + -12 0.40x = 14 + -12 Combine like terms: 14 + -12 = 2 0.40x = 2 Divide each side by '0.40'. x = 5 Simplifying x = 5
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