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Simplifying 3x = (8 + -0.25x) + -1(3 + -0.75x) Remove parenthesis around (8 + -0.25x) 3x = 8 + -0.25x + -1(3 + -0.75x) 3x = 8 + -0.25x + (3 * -1 + -0.75x * -1) 3x = 8 + -0.25x + (-3 + 0.75x) Reorder the terms: 3x = 8 + -3 + -0.25x + 0.75x Combine like terms: 8 + -3 = 5 3x = 5 + -0.25x + 0.75x Combine like terms: -0.25x + 0.75x = 0.5x 3x = 5 + 0.5x Solving 3x = 5 + 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. 3x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 2.5x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.5x = 5 + 0.0 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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