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Simplifying 1.25x + 2.5 = 2.75x + -6.5 Reorder the terms: 2.5 + 1.25x = 2.75x + -6.5 Reorder the terms: 2.5 + 1.25x = -6.5 + 2.75x Solving 2.5 + 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. 2.5 + 1.25x + -2.75x = -6.5 + 2.75x + -2.75x Combine like terms: 1.25x + -2.75x = -1.5x 2.5 + -1.5x = -6.5 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 2.5 + -1.5x = -6.5 + 0.00 2.5 + -1.5x = -6.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1.5x = -6.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1.5x = -6.5 + -2.5 -1.5x = -6.5 + -2.5 Combine like terms: -6.5 + -2.5 = -9 -1.5x = -9 Divide each side by '-1.5'. x = 6 Simplifying x = 6
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