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Simplifying 3.2x + 43.9 = 14.5 + -11.5x Reorder the terms: 43.9 + 3.2x = 14.5 + -11.5x Solving 43.9 + 3.2x = 14.5 + -11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.5x' to each side of the equation. 43.9 + 3.2x + 11.5x = 14.5 + -11.5x + 11.5x Combine like terms: 3.2x + 11.5x = 14.7x 43.9 + 14.7x = 14.5 + -11.5x + 11.5x Combine like terms: -11.5x + 11.5x = 0.0 43.9 + 14.7x = 14.5 + 0.0 43.9 + 14.7x = 14.5 Add '-43.9' to each side of the equation. 43.9 + -43.9 + 14.7x = 14.5 + -43.9 Combine like terms: 43.9 + -43.9 = 0.0 0.0 + 14.7x = 14.5 + -43.9 14.7x = 14.5 + -43.9 Combine like terms: 14.5 + -43.9 = -29.4 14.7x = -29.4 Divide each side by '14.7'. x = -2 Simplifying x = -2
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