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Simplifying 0.25x + -6 = -0.75x + 14 Reorder the terms: -6 + 0.25x = -0.75x + 14 Reorder the terms: -6 + 0.25x = 14 + -0.75x Solving -6 + 0.25x = 14 + -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. -6 + 0.25x + 0.75x = 14 + -0.75x + 0.75x Combine like terms: 0.25x + 0.75x = 1x -6 + 1x = 14 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 -6 + 1x = 14 + 0.00 -6 + 1x = 14 Add '6' to each side of the equation. -6 + 6 + 1x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 14 + 6 1x = 14 + 6 Combine like terms: 14 + 6 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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