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Simplifying 8.00x + 13.000 = 7.50x + 16.00 Reorder the terms: 13.000 + 8.00x = 7.50x + 16.00 Reorder the terms: 13.000 + 8.00x = 16.00 + 7.50x Solving 13.000 + 8.00x = 16.00 + 7.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.50x' to each side of the equation. 13.000 + 8.00x + -7.50x = 16.00 + 7.50x + -7.50x Combine like terms: 8.00x + -7.50x = 0.5x 13.000 + 0.5x = 16.00 + 7.50x + -7.50x Combine like terms: 7.50x + -7.50x = 0.00 13.000 + 0.5x = 16.00 + 0.00 13.000 + 0.5x = 16.00 Add '-13.000' to each side of the equation. 13.000 + -13.000 + 0.5x = 16.00 + -13.000 Combine like terms: 13.000 + -13.000 = 0.000 0.000 + 0.5x = 16.00 + -13.000 0.5x = 16.00 + -13.000 Combine like terms: 16.00 + -13.000 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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