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Simplifying 14.00x + 5.50 = 12.00x + 6.75 Reorder the terms: 5.50 + 14.00x = 12.00x + 6.75 Reorder the terms: 5.50 + 14.00x = 6.75 + 12.00x Solving 5.50 + 14.00x = 6.75 + 12.00x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.00x' to each side of the equation. 5.50 + 14.00x + -12.00x = 6.75 + 12.00x + -12.00x Combine like terms: 14.00x + -12.00x = 2x 5.50 + 2x = 6.75 + 12.00x + -12.00x Combine like terms: 12.00x + -12.00x = 0.00 5.50 + 2x = 6.75 + 0.00 5.50 + 2x = 6.75 Add '-5.50' to each side of the equation. 5.50 + -5.50 + 2x = 6.75 + -5.50 Combine like terms: 5.50 + -5.50 = 0.00 0.00 + 2x = 6.75 + -5.50 2x = 6.75 + -5.50 Combine like terms: 6.75 + -5.50 = 1.25 2x = 1.25 Divide each side by '2'. x = 0.625 Simplifying x = 0.625
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