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Simplifying 51 = 3.50x + 5.50x + 6 Reorder the terms: 51 = 6 + 3.50x + 5.50x Combine like terms: 3.50x + 5.50x = 9x 51 = 6 + 9x Solving 51 = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 51 + -9x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 51 + -9x = 6 + 0 51 + -9x = 6 Add '-51' to each side of the equation. 51 + -51 + -9x = 6 + -51 Combine like terms: 51 + -51 = 0 0 + -9x = 6 + -51 -9x = 6 + -51 Combine like terms: 6 + -51 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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