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Simplifying 0.75x + 7 = 0.5x + 8 Reorder the terms: 7 + 0.75x = 0.5x + 8 Reorder the terms: 7 + 0.75x = 8 + 0.5x Solving 7 + 0.75x = 8 + 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. 7 + 0.75x + -0.5x = 8 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x 7 + 0.25x = 8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 7 + 0.25x = 8 + 0.0 7 + 0.25x = 8 Add '-7' to each side of the equation. 7 + -7 + 0.25x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 0.25x = 8 + -7 0.25x = 8 + -7 Combine like terms: 8 + -7 = 1 0.25x = 1 Divide each side by '0.25'. x = 4 Simplifying x = 4
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