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Simplifying 5x + 9 = 9 + -1(7x + -7) Reorder the terms: 9 + 5x = 9 + -1(7x + -7) Reorder the terms: 9 + 5x = 9 + -1(-7 + 7x) 9 + 5x = 9 + (-7 * -1 + 7x * -1) 9 + 5x = 9 + (7 + -7x) Combine like terms: 9 + 7 = 16 9 + 5x = 16 + -7x Solving 9 + 5x = 16 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + 5x + 7x = 16 + -7x + 7x Combine like terms: 5x + 7x = 12x 9 + 12x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + 12x = 16 + 0 9 + 12x = 16 Add '-9' to each side of the equation. 9 + -9 + 12x = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 16 + -9 12x = 16 + -9 Combine like terms: 16 + -9 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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