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Simplifying 0.75x + 1 = 4 + 0.25x Reorder the terms: 1 + 0.75x = 4 + 0.25x Solving 1 + 0.75x = 4 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 1 + 0.75x + -0.25x = 4 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 1 + 0.5x = 4 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 1 + 0.5x = 4 + 0.00 1 + 0.5x = 4 Add '-1' to each side of the equation. 1 + -1 + 0.5x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.5x = 4 + -1 0.5x = 4 + -1 Combine like terms: 4 + -1 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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