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Simplifying 0.75x + 7 = 0.25x + 3 Reorder the terms: 7 + 0.75x = 0.25x + 3 Reorder the terms: 7 + 0.75x = 3 + 0.25x Solving 7 + 0.75x = 3 + 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. 7 + 0.75x + -0.25x = 3 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x 7 + 0.5x = 3 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 7 + 0.5x = 3 + 0.00 7 + 0.5x = 3 Add '-7' to each side of the equation. 7 + -7 + 0.5x = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 0.5x = 3 + -7 0.5x = 3 + -7 Combine like terms: 3 + -7 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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