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Simplifying 3.8x + 42.6 = 15.6 + -9.7x Reorder the terms: 42.6 + 3.8x = 15.6 + -9.7x Solving 42.6 + 3.8x = 15.6 + -9.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.7x' to each side of the equation. 42.6 + 3.8x + 9.7x = 15.6 + -9.7x + 9.7x Combine like terms: 3.8x + 9.7x = 13.5x 42.6 + 13.5x = 15.6 + -9.7x + 9.7x Combine like terms: -9.7x + 9.7x = 0.0 42.6 + 13.5x = 15.6 + 0.0 42.6 + 13.5x = 15.6 Add '-42.6' to each side of the equation. 42.6 + -42.6 + 13.5x = 15.6 + -42.6 Combine like terms: 42.6 + -42.6 = 0.0 0.0 + 13.5x = 15.6 + -42.6 13.5x = 15.6 + -42.6 Combine like terms: 15.6 + -42.6 = -27 13.5x = -27 Divide each side by '13.5'. x = -2 Simplifying x = -2
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