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Simplifying 0.25x + 12 = 0.75x + -6 Reorder the terms: 12 + 0.25x = 0.75x + -6 Reorder the terms: 12 + 0.25x = -6 + 0.75x Solving 12 + 0.25x = -6 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 12 + 0.25x + -0.75x = -6 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 12 + -0.5x = -6 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 12 + -0.5x = -6 + 0.00 12 + -0.5x = -6 Add '-12' to each side of the equation. 12 + -12 + -0.5x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -0.5x = -6 + -12 -0.5x = -6 + -12 Combine like terms: -6 + -12 = -18 -0.5x = -18 Divide each side by '-0.5'. x = 36 Simplifying x = 36
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