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Simplifying 0.75x + 12 = 0.25x + 18 Reorder the terms: 12 + 0.75x = 0.25x + 18 Reorder the terms: 12 + 0.75x = 18 + 0.25x Solving 12 + 0.75x = 18 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 12 + 0.75x + -0.25x = 18 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 12 + 0.5x = 18 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 12 + 0.5x = 18 + 0.00 12 + 0.5x = 18 Add '-12' to each side of the equation. 12 + -12 + 0.5x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 0.5x = 18 + -12 0.5x = 18 + -12 Combine like terms: 18 + -12 = 6 0.5x = 6 Divide each side by '0.5'. x = 12 Simplifying x = 12
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