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Simplifying 30 + 0.5x = 1.25x Solving 30 + 0.5x = 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 30 + 0.5x + -1.25x = 1.25x + -1.25x Combine like terms: 0.5x + -1.25x = -0.75x 30 + -0.75x = 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 30 + -0.75x = 0.00 Add '-30' to each side of the equation. 30 + -30 + -0.75x = 0.00 + -30 Combine like terms: 30 + -30 = 0 0 + -0.75x = 0.00 + -30 -0.75x = 0.00 + -30 Combine like terms: 0.00 + -30 = -30 -0.75x = -30 Divide each side by '-0.75'. x = 40 Simplifying x = 40
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