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Simplifying 3.8x + 52.9 = 6.4 + -11.7x Reorder the terms: 52.9 + 3.8x = 6.4 + -11.7x Solving 52.9 + 3.8x = 6.4 + -11.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.7x' to each side of the equation. 52.9 + 3.8x + 11.7x = 6.4 + -11.7x + 11.7x Combine like terms: 3.8x + 11.7x = 15.5x 52.9 + 15.5x = 6.4 + -11.7x + 11.7x Combine like terms: -11.7x + 11.7x = 0.0 52.9 + 15.5x = 6.4 + 0.0 52.9 + 15.5x = 6.4 Add '-52.9' to each side of the equation. 52.9 + -52.9 + 15.5x = 6.4 + -52.9 Combine like terms: 52.9 + -52.9 = 0.0 0.0 + 15.5x = 6.4 + -52.9 15.5x = 6.4 + -52.9 Combine like terms: 6.4 + -52.9 = -46.5 15.5x = -46.5 Divide each side by '15.5'. x = -3 Simplifying x = -3
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