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Simplifying 9 + -0.75x = 0.50x + 1 Reorder the terms: 9 + -0.75x = 1 + 0.50x Solving 9 + -0.75x = 1 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 9 + -0.75x + -0.50x = 1 + 0.50x + -0.50x Combine like terms: -0.75x + -0.50x = -1.25x 9 + -1.25x = 1 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 9 + -1.25x = 1 + 0.00 9 + -1.25x = 1 Add '-9' to each side of the equation. 9 + -9 + -1.25x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -1.25x = 1 + -9 -1.25x = 1 + -9 Combine like terms: 1 + -9 = -8 -1.25x = -8 Divide each side by '-1.25'. x = 6.4 Simplifying x = 6.4
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