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Simplifying 2.5x + 35 = 0.4x + 17 Reorder the terms: 35 + 2.5x = 0.4x + 17 Reorder the terms: 35 + 2.5x = 17 + 0.4x Solving 35 + 2.5x = 17 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 35 + 2.5x + -0.4x = 17 + 0.4x + -0.4x Combine like terms: 2.5x + -0.4x = 2.1x 35 + 2.1x = 17 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 35 + 2.1x = 17 + 0.0 35 + 2.1x = 17 Add '-35' to each side of the equation. 35 + -35 + 2.1x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + 2.1x = 17 + -35 2.1x = 17 + -35 Combine like terms: 17 + -35 = -18 2.1x = -18 Divide each side by '2.1'. x = -8.571428571 Simplifying x = -8.571428571
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