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Simplifying 5x + 9 = 78 + -2x Reorder the terms: 9 + 5x = 78 + -2x Solving 9 + 5x = 78 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 5x + 2x = 78 + -2x + 2x Combine like terms: 5x + 2x = 7x 9 + 7x = 78 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 7x = 78 + 0 9 + 7x = 78 Add '-9' to each side of the equation. 9 + -9 + 7x = 78 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 78 + -9 7x = 78 + -9 Combine like terms: 78 + -9 = 69 7x = 69 Divide each side by '7'. x = 9.857142857 Simplifying x = 9.857142857
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