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Simplifying 30 + 5x = 37.5 + 3.75x Solving 30 + 5x = 37.5 + 3.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.75x' to each side of the equation. 30 + 5x + -3.75x = 37.5 + 3.75x + -3.75x Combine like terms: 5x + -3.75x = 1.25x 30 + 1.25x = 37.5 + 3.75x + -3.75x Combine like terms: 3.75x + -3.75x = 0.00 30 + 1.25x = 37.5 + 0.00 30 + 1.25x = 37.5 Add '-30' to each side of the equation. 30 + -30 + 1.25x = 37.5 + -30 Combine like terms: 30 + -30 = 0 0 + 1.25x = 37.5 + -30 1.25x = 37.5 + -30 Combine like terms: 37.5 + -30 = 7.5 1.25x = 7.5 Divide each side by '1.25'. x = 6 Simplifying x = 6
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