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Simplifying 3.50x + 5.50x + 6 = 51 + 3.50x Reorder the terms: 6 + 3.50x + 5.50x = 51 + 3.50x Combine like terms: 3.50x + 5.50x = 9x 6 + 9x = 51 + 3.50x Solving 6 + 9x = 51 + 3.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.50x' to each side of the equation. 6 + 9x + -3.50x = 51 + 3.50x + -3.50x Combine like terms: 9x + -3.50x = 5.5x 6 + 5.5x = 51 + 3.50x + -3.50x Combine like terms: 3.50x + -3.50x = 0.00 6 + 5.5x = 51 + 0.00 6 + 5.5x = 51 Add '-6' to each side of the equation. 6 + -6 + 5.5x = 51 + -6 Combine like terms: 6 + -6 = 0 0 + 5.5x = 51 + -6 5.5x = 51 + -6 Combine like terms: 51 + -6 = 45 5.5x = 45 Divide each side by '5.5'. x = 8.181818182 Simplifying x = 8.181818182
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