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Simplifying 0.40x + 0.40(120) = 0.20(146) Multiply 0.40 * 120 0.40x + 48 = 0.20(146) Reorder the terms: 48 + 0.40x = 0.20(146) Multiply 0.20 * 146 48 + 0.40x = 29.2 Solving 48 + 0.40x = 29.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 0.40x = 29.2 + -48 Combine like terms: 48 + -48 = 0 0 + 0.40x = 29.2 + -48 0.40x = 29.2 + -48 Combine like terms: 29.2 + -48 = -18.8 0.40x = -18.8 Divide each side by '0.40'. x = -47 Simplifying x = -47
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