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Simplifying 0.40x + 0.15(80) = 0.20(46) Multiply 0.15 * 80 0.40x + 12 = 0.20(46) Reorder the terms: 12 + 0.40x = 0.20(46) Multiply 0.20 * 46 12 + 0.40x = 9.2 Solving 12 + 0.40x = 9.2 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 = 9.2 + -12 Combine like terms: 12 + -12 = 0 0 + 0.40x = 9.2 + -12 0.40x = 9.2 + -12 Combine like terms: 9.2 + -12 = -2.8 0.40x = -2.8 Divide each side by '0.40'. x = -7 Simplifying x = -7
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