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Simplifying -0.49x + 35.4 = -0.83x + 37.1 Reorder the terms: 35.4 + -0.49x = -0.83x + 37.1 Reorder the terms: 35.4 + -0.49x = 37.1 + -0.83x Solving 35.4 + -0.49x = 37.1 + -0.83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.83x' to each side of the equation. 35.4 + -0.49x + 0.83x = 37.1 + -0.83x + 0.83x Combine like terms: -0.49x + 0.83x = 0.34x 35.4 + 0.34x = 37.1 + -0.83x + 0.83x Combine like terms: -0.83x + 0.83x = 0.00 35.4 + 0.34x = 37.1 + 0.00 35.4 + 0.34x = 37.1 Add '-35.4' to each side of the equation. 35.4 + -35.4 + 0.34x = 37.1 + -35.4 Combine like terms: 35.4 + -35.4 = 0.0 0.0 + 0.34x = 37.1 + -35.4 0.34x = 37.1 + -35.4 Combine like terms: 37.1 + -35.4 = 1.7 0.34x = 1.7 Divide each side by '0.34'. x = 5 Simplifying x = 5
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