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Simplifying 0.40x + 0.15(120) = 0.20(46) Multiply 0.15 * 120 0.40x + 18 = 0.20(46) Reorder the terms: 18 + 0.40x = 0.20(46) Multiply 0.20 * 46 18 + 0.40x = 9.2 Solving 18 + 0.40x = 9.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 0.40x = 9.2 + -18 Combine like terms: 18 + -18 = 0 0 + 0.40x = 9.2 + -18 0.40x = 9.2 + -18 Combine like terms: 9.2 + -18 = -8.8 0.40x = -8.8 Divide each side by '0.40'. x = -22 Simplifying x = -22
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