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Simplifying 8.25x + 6 = 14.5x + 11 Reorder the terms: 6 + 8.25x = 14.5x + 11 Reorder the terms: 6 + 8.25x = 11 + 14.5x Solving 6 + 8.25x = 11 + 14.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14.5x' to each side of the equation. 6 + 8.25x + -14.5x = 11 + 14.5x + -14.5x Combine like terms: 8.25x + -14.5x = -6.25x 6 + -6.25x = 11 + 14.5x + -14.5x Combine like terms: 14.5x + -14.5x = 0.0 6 + -6.25x = 11 + 0.0 6 + -6.25x = 11 Add '-6' to each side of the equation. 6 + -6 + -6.25x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + -6.25x = 11 + -6 -6.25x = 11 + -6 Combine like terms: 11 + -6 = 5 -6.25x = 5 Divide each side by '-6.25'. x = -0.8 Simplifying x = -0.8
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