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Simplifying 0.75x + -12 = 0.5x + -6 Reorder the terms: -12 + 0.75x = 0.5x + -6 Reorder the terms: -12 + 0.75x = -6 + 0.5x Solving -12 + 0.75x = -6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -12 + 0.75x + -0.5x = -6 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -12 + 0.25x = -6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -12 + 0.25x = -6 + 0.0 -12 + 0.25x = -6 Add '12' to each side of the equation. -12 + 12 + 0.25x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 0.25x = -6 + 12 0.25x = -6 + 12 Combine like terms: -6 + 12 = 6 0.25x = 6 Divide each side by '0.25'. x = 24 Simplifying x = 24
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