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Simplifying 0.4x + 0.05 = 0.75x Reorder the terms: 0.05 + 0.4x = 0.75x Solving 0.05 + 0.4x = 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 0.05 + 0.4x + -0.75x = 0.75x + -0.75x Combine like terms: 0.4x + -0.75x = -0.35x 0.05 + -0.35x = 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.05 + -0.35x = 0.00 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.35x = 0.00 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.35x = 0.00 + -0.05 -0.35x = 0.00 + -0.05 Combine like terms: 0.00 + -0.05 = -0.05 -0.35x = -0.05 Divide each side by '-0.35'. x = 0.1428571429 Simplifying x = 0.1428571429
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