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Simplifying 0.75x + 3 = -1.75x + 8 Reorder the terms: 3 + 0.75x = -1.75x + 8 Reorder the terms: 3 + 0.75x = 8 + -1.75x Solving 3 + 0.75x = 8 + -1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.75x' to each side of the equation. 3 + 0.75x + 1.75x = 8 + -1.75x + 1.75x Combine like terms: 0.75x + 1.75x = 2.5x 3 + 2.5x = 8 + -1.75x + 1.75x Combine like terms: -1.75x + 1.75x = 0.00 3 + 2.5x = 8 + 0.00 3 + 2.5x = 8 Add '-3' to each side of the equation. 3 + -3 + 2.5x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 2.5x = 8 + -3 2.5x = 8 + -3 Combine like terms: 8 + -3 = 5 2.5x = 5 Divide each side by '2.5'. x = 2 Simplifying x = 2
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