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Simplifying 1.75x + 12 = 0.50x + 57 Reorder the terms: 12 + 1.75x = 0.50x + 57 Reorder the terms: 12 + 1.75x = 57 + 0.50x Solving 12 + 1.75x = 57 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 12 + 1.75x + -0.50x = 57 + 0.50x + -0.50x Combine like terms: 1.75x + -0.50x = 1.25x 12 + 1.25x = 57 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 12 + 1.25x = 57 + 0.00 12 + 1.25x = 57 Add '-12' to each side of the equation. 12 + -12 + 1.25x = 57 + -12 Combine like terms: 12 + -12 = 0 0 + 1.25x = 57 + -12 1.25x = 57 + -12 Combine like terms: 57 + -12 = 45 1.25x = 45 Divide each side by '1.25'. x = 36 Simplifying x = 36
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