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Simplifying 0.75x + 2 + -6 = 0.5x + -12 Reorder the terms: 2 + -6 + 0.75x = 0.5x + -12 Combine like terms: 2 + -6 = -4 -4 + 0.75x = 0.5x + -12 Reorder the terms: -4 + 0.75x = -12 + 0.5x Solving -4 + 0.75x = -12 + 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. -4 + 0.75x + -0.5x = -12 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -4 + 0.25x = -12 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + 0.25x = -12 + 0.0 -4 + 0.25x = -12 Add '4' to each side of the equation. -4 + 4 + 0.25x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + 0.25x = -12 + 4 0.25x = -12 + 4 Combine like terms: -12 + 4 = -8 0.25x = -8 Divide each side by '0.25'. x = -32 Simplifying x = -32
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