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Simplifying 6.5 + x = 4.25 + 1.25x Solving 6.5 + x = 4.25 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 6.5 + x + -1.25x = 4.25 + 1.25x + -1.25x Combine like terms: x + -1.25x = -0.25x 6.5 + -0.25x = 4.25 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 6.5 + -0.25x = 4.25 + 0.00 6.5 + -0.25x = 4.25 Add '-6.5' to each side of the equation. 6.5 + -6.5 + -0.25x = 4.25 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + -0.25x = 4.25 + -6.5 -0.25x = 4.25 + -6.5 Combine like terms: 4.25 + -6.5 = -2.25 -0.25x = -2.25 Divide each side by '-0.25'. x = 9 Simplifying x = 9
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