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Simplifying 2.58x + 34.23 = 42.1 + -1.42x Reorder the terms: 34.23 + 2.58x = 42.1 + -1.42x Solving 34.23 + 2.58x = 42.1 + -1.42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.42x' to each side of the equation. 34.23 + 2.58x + 1.42x = 42.1 + -1.42x + 1.42x Combine like terms: 2.58x + 1.42x = 4x 34.23 + 4x = 42.1 + -1.42x + 1.42x Combine like terms: -1.42x + 1.42x = 0.00 34.23 + 4x = 42.1 + 0.00 34.23 + 4x = 42.1 Add '-34.23' to each side of the equation. 34.23 + -34.23 + 4x = 42.1 + -34.23 Combine like terms: 34.23 + -34.23 = 0.00 0.00 + 4x = 42.1 + -34.23 4x = 42.1 + -34.23 Combine like terms: 42.1 + -34.23 = 7.87 4x = 7.87 Divide each side by '4'. x = 1.9675 Simplifying x = 1.9675
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