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Simplifying 0.75x + -12 = 0.25x + -9 Reorder the terms: -12 + 0.75x = 0.25x + -9 Reorder the terms: -12 + 0.75x = -9 + 0.25x Solving -12 + 0.75x = -9 + 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 = -9 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x -12 + 0.5x = -9 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -12 + 0.5x = -9 + 0.00 -12 + 0.5x = -9 Add '12' to each side of the equation. -12 + 12 + 0.5x = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 0.5x = -9 + 12 0.5x = -9 + 12 Combine like terms: -9 + 12 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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