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Simplifying 0.25x + -0.45 = 0.12x + 0.63x + -0.25 Reorder the terms: -0.45 + 0.25x = 0.12x + 0.63x + -0.25 Reorder the terms: -0.45 + 0.25x = -0.25 + 0.12x + 0.63x Combine like terms: 0.12x + 0.63x = 0.75x -0.45 + 0.25x = -0.25 + 0.75x Solving -0.45 + 0.25x = -0.25 + 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. -0.45 + 0.25x + -0.75x = -0.25 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x -0.45 + -0.5x = -0.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.45 + -0.5x = -0.25 + 0.00 -0.45 + -0.5x = -0.25 Add '0.45' to each side of the equation. -0.45 + 0.45 + -0.5x = -0.25 + 0.45 Combine like terms: -0.45 + 0.45 = 0.00 0.00 + -0.5x = -0.25 + 0.45 -0.5x = -0.25 + 0.45 Combine like terms: -0.25 + 0.45 = 0.2 -0.5x = 0.2 Divide each side by '-0.5'. x = -0.4 Simplifying x = -0.4
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