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Simplifying 0.40x + 35 = 1.0407x Reorder the terms: 35 + 0.40x = 1.0407x Solving 35 + 0.40x = 1.0407x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.0407x' to each side of the equation. 35 + 0.40x + -1.0407x = 1.0407x + -1.0407x Combine like terms: 0.40x + -1.0407x = -0.6407x 35 + -0.6407x = 1.0407x + -1.0407x Combine like terms: 1.0407x + -1.0407x = 0.0000 35 + -0.6407x = 0.0000 Add '-35' to each side of the equation. 35 + -35 + -0.6407x = 0.0000 + -35 Combine like terms: 35 + -35 = 0 0 + -0.6407x = 0.0000 + -35 -0.6407x = 0.0000 + -35 Combine like terms: 0.0000 + -35 = -35 -0.6407x = -35 Divide each side by '-0.6407'. x = 54.6277509 Simplifying x = 54.6277509
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