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Simplifying 3.4x + 42.5 = 14.3 + -10.7x Reorder the terms: 42.5 + 3.4x = 14.3 + -10.7x Solving 42.5 + 3.4x = 14.3 + -10.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.7x' to each side of the equation. 42.5 + 3.4x + 10.7x = 14.3 + -10.7x + 10.7x Combine like terms: 3.4x + 10.7x = 14.1x 42.5 + 14.1x = 14.3 + -10.7x + 10.7x Combine like terms: -10.7x + 10.7x = 0.0 42.5 + 14.1x = 14.3 + 0.0 42.5 + 14.1x = 14.3 Add '-42.5' to each side of the equation. 42.5 + -42.5 + 14.1x = 14.3 + -42.5 Combine like terms: 42.5 + -42.5 = 0.0 0.0 + 14.1x = 14.3 + -42.5 14.1x = 14.3 + -42.5 Combine like terms: 14.3 + -42.5 = -28.2 14.1x = -28.2 Divide each side by '14.1'. x = -2 Simplifying x = -2
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