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Simplifying 0.40x + 0.15(180) + -0.20(41) = 0 Multiply 0.15 * 180 0.40x + 27 + -0.20(41) = 0 Multiply -0.20 * 41 0.40x + 27 + -8.2 = 0 Reorder the terms: 27 + -8.2 + 0.40x = 0 Combine like terms: 27 + -8.2 = 18.8 18.8 + 0.40x = 0 Solving 18.8 + 0.40x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.8' to each side of the equation. 18.8 + -18.8 + 0.40x = 0 + -18.8 Combine like terms: 18.8 + -18.8 = 0.0 0.0 + 0.40x = 0 + -18.8 0.40x = 0 + -18.8 Combine like terms: 0 + -18.8 = -18.8 0.40x = -18.8 Divide each side by '0.40'. x = -47 Simplifying x = -47
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