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Simplifying 15 + 0.50x = 10 + 0.75x Solving 15 + 0.50x = 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. 15 + 0.50x + -0.75x = 10 + 0.75x + -0.75x Combine like terms: 0.50x + -0.75x = -0.25x 15 + -0.25x = 10 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 15 + -0.25x = 10 + 0.00 15 + -0.25x = 10 Add '-15' to each side of the equation. 15 + -15 + -0.25x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.25x = 10 + -15 -0.25x = 10 + -15 Combine like terms: 10 + -15 = -5 -0.25x = -5 Divide each side by '-0.25'. x = 20 Simplifying x = 20
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