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Simplifying 1.25x + 2 = 2.75x + -6.5 Reorder the terms: 2 + 1.25x = 2.75x + -6.5 Reorder the terms: 2 + 1.25x = -6.5 + 2.75x Solving 2 + 1.25x = -6.5 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 2 + 1.25x + -2.75x = -6.5 + 2.75x + -2.75x Combine like terms: 1.25x + -2.75x = -1.5x 2 + -1.5x = -6.5 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 2 + -1.5x = -6.5 + 0.00 2 + -1.5x = -6.5 Add '-2' to each side of the equation. 2 + -2 + -1.5x = -6.5 + -2 Combine like terms: 2 + -2 = 0 0 + -1.5x = -6.5 + -2 -1.5x = -6.5 + -2 Combine like terms: -6.5 + -2 = -8.5 -1.5x = -8.5 Divide each side by '-1.5'. x = 5.666666667 Simplifying x = 5.666666667
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