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Simplifying 0.35x + 40 = 0.10x + 50 Reorder the terms: 40 + 0.35x = 0.10x + 50 Reorder the terms: 40 + 0.35x = 50 + 0.10x Solving 40 + 0.35x = 50 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 40 + 0.35x + -0.10x = 50 + 0.10x + -0.10x Combine like terms: 0.35x + -0.10x = 0.25x 40 + 0.25x = 50 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 40 + 0.25x = 50 + 0.00 40 + 0.25x = 50 Add '-40' to each side of the equation. 40 + -40 + 0.25x = 50 + -40 Combine like terms: 40 + -40 = 0 0 + 0.25x = 50 + -40 0.25x = 50 + -40 Combine like terms: 50 + -40 = 10 0.25x = 10 Divide each side by '0.25'. x = 40 Simplifying x = 40
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