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Simplifying 3.7x + -82 = 1.3x + 2 Reorder the terms: -82 + 3.7x = 1.3x + 2 Reorder the terms: -82 + 3.7x = 2 + 1.3x Solving -82 + 3.7x = 2 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -82 + 3.7x + -1.3x = 2 + 1.3x + -1.3x Combine like terms: 3.7x + -1.3x = 2.4x -82 + 2.4x = 2 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -82 + 2.4x = 2 + 0.0 -82 + 2.4x = 2 Add '82' to each side of the equation. -82 + 82 + 2.4x = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 2.4x = 2 + 82 2.4x = 2 + 82 Combine like terms: 2 + 82 = 84 2.4x = 84 Divide each side by '2.4'. x = 35 Simplifying x = 35
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