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Simplifying 30 + 0.25x = 20 + 0.5x Solving 30 + 0.25x = 20 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 30 + 0.25x + -0.5x = 20 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 30 + -0.25x = 20 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 30 + -0.25x = 20 + 0.0 30 + -0.25x = 20 Add '-30' to each side of the equation. 30 + -30 + -0.25x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -0.25x = 20 + -30 -0.25x = 20 + -30 Combine like terms: 20 + -30 = -10 -0.25x = -10 Divide each side by '-0.25'. x = 40 Simplifying x = 40
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