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Simplifying 0.5x + 3 + -4x = 0.75x + -0.25 Reorder the terms: 3 + 0.5x + -4x = 0.75x + -0.25 Combine like terms: 0.5x + -4x = -3.5x 3 + -3.5x = 0.75x + -0.25 Reorder the terms: 3 + -3.5x = -0.25 + 0.75x Solving 3 + -3.5x = -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. 3 + -3.5x + -0.75x = -0.25 + 0.75x + -0.75x Combine like terms: -3.5x + -0.75x = -4.25x 3 + -4.25x = -0.25 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -4.25x = -0.25 + 0.00 3 + -4.25x = -0.25 Add '-3' to each side of the equation. 3 + -3 + -4.25x = -0.25 + -3 Combine like terms: 3 + -3 = 0 0 + -4.25x = -0.25 + -3 -4.25x = -0.25 + -3 Combine like terms: -0.25 + -3 = -3.25 -4.25x = -3.25 Divide each side by '-4.25'. x = 0.7647058824 Simplifying x = 0.7647058824
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