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Simplifying 0.5x + 0.35 = 0.75x + 0.10 Reorder the terms: 0.35 + 0.5x = 0.75x + 0.10 Reorder the terms: 0.35 + 0.5x = 0.10 + 0.75x Solving 0.35 + 0.5x = 0.10 + 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. 0.35 + 0.5x + -0.75x = 0.10 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 0.35 + -0.25x = 0.10 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 0.35 + -0.25x = 0.10 + 0.00 0.35 + -0.25x = 0.10 Add '-0.35' to each side of the equation. 0.35 + -0.35 + -0.25x = 0.10 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + -0.25x = 0.10 + -0.35 -0.25x = 0.10 + -0.35 Combine like terms: 0.10 + -0.35 = -0.25 -0.25x = -0.25 Divide each side by '-0.25'. x = 1 Simplifying x = 1
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