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Simplifying 0.5(400 + -2.4x) = 3.7 (400 * 0.5 + -2.4x * 0.5) = 3.7 (200 + -1.2x) = 3.7 Solving 200 + -1.2x = 3.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200' to each side of the equation. 200 + -200 + -1.2x = 3.7 + -200 Combine like terms: 200 + -200 = 0 0 + -1.2x = 3.7 + -200 -1.2x = 3.7 + -200 Combine like terms: 3.7 + -200 = -196.3 -1.2x = -196.3 Divide each side by '-1.2'. x = 163.5833333 Simplifying x = 163.5833333
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