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Simplifying 0.75x + 1000 = -2x + 1200 Reorder the terms: 1000 + 0.75x = -2x + 1200 Reorder the terms: 1000 + 0.75x = 1200 + -2x Solving 1000 + 0.75x = 1200 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1000 + 0.75x + 2x = 1200 + -2x + 2x Combine like terms: 0.75x + 2x = 2.75x 1000 + 2.75x = 1200 + -2x + 2x Combine like terms: -2x + 2x = 0 1000 + 2.75x = 1200 + 0 1000 + 2.75x = 1200 Add '-1000' to each side of the equation. 1000 + -1000 + 2.75x = 1200 + -1000 Combine like terms: 1000 + -1000 = 0 0 + 2.75x = 1200 + -1000 2.75x = 1200 + -1000 Combine like terms: 1200 + -1000 = 200 2.75x = 200 Divide each side by '2.75'. x = 72.72727273 Simplifying x = 72.72727273
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