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Simplifying 3.7x + 47.4 = 16.4 + -11.8x Reorder the terms: 47.4 + 3.7x = 16.4 + -11.8x Solving 47.4 + 3.7x = 16.4 + -11.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.8x' to each side of the equation. 47.4 + 3.7x + 11.8x = 16.4 + -11.8x + 11.8x Combine like terms: 3.7x + 11.8x = 15.5x 47.4 + 15.5x = 16.4 + -11.8x + 11.8x Combine like terms: -11.8x + 11.8x = 0.0 47.4 + 15.5x = 16.4 + 0.0 47.4 + 15.5x = 16.4 Add '-47.4' to each side of the equation. 47.4 + -47.4 + 15.5x = 16.4 + -47.4 Combine like terms: 47.4 + -47.4 = 0.0 0.0 + 15.5x = 16.4 + -47.4 15.5x = 16.4 + -47.4 Combine like terms: 16.4 + -47.4 = -31 15.5x = -31 Divide each side by '15.5'. x = -2 Simplifying x = -2
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