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Simplifying 0.25x + 35 = 0.4x + 17 Reorder the terms: 35 + 0.25x = 0.4x + 17 Reorder the terms: 35 + 0.25x = 17 + 0.4x Solving 35 + 0.25x = 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 + 0.25x + -0.4x = 17 + 0.4x + -0.4x Combine like terms: 0.25x + -0.4x = -0.15x 35 + -0.15x = 17 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 35 + -0.15x = 17 + 0.0 35 + -0.15x = 17 Add '-35' to each side of the equation. 35 + -35 + -0.15x = 17 + -35 Combine like terms: 35 + -35 = 0 0 + -0.15x = 17 + -35 -0.15x = 17 + -35 Combine like terms: 17 + -35 = -18 -0.15x = -18 Divide each side by '-0.15'. x = 120 Simplifying x = 120
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