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Simplifying 0.25x + 3 = 0.75x + 1 Reorder the terms: 3 + 0.25x = 0.75x + 1 Reorder the terms: 3 + 0.25x = 1 + 0.75x Solving 3 + 0.25x = 1 + 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 + 0.25x + -0.75x = 1 + 0.75x + -0.75x Combine like terms: 0.25x + -0.75x = -0.5x 3 + -0.5x = 1 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 3 + -0.5x = 1 + 0.00 3 + -0.5x = 1 Add '-3' to each side of the equation. 3 + -3 + -0.5x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = 1 + -3 -0.5x = 1 + -3 Combine like terms: 1 + -3 = -2 -0.5x = -2 Divide each side by '-0.5'. x = 4 Simplifying x = 4
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