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Simplifying 3.1x + -47 = 1.7x + 2 Reorder the terms: -47 + 3.1x = 1.7x + 2 Reorder the terms: -47 + 3.1x = 2 + 1.7x Solving -47 + 3.1x = 2 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. -47 + 3.1x + -1.7x = 2 + 1.7x + -1.7x Combine like terms: 3.1x + -1.7x = 1.4x -47 + 1.4x = 2 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 -47 + 1.4x = 2 + 0.0 -47 + 1.4x = 2 Add '47' to each side of the equation. -47 + 47 + 1.4x = 2 + 47 Combine like terms: -47 + 47 = 0 0 + 1.4x = 2 + 47 1.4x = 2 + 47 Combine like terms: 2 + 47 = 49 1.4x = 49 Divide each side by '1.4'. x = 35 Simplifying x = 35
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