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Simplifying 9x + 22 = 5x + 10 + 2(x + 9) Reorder the terms: 22 + 9x = 5x + 10 + 2(x + 9) Reorder the terms: 22 + 9x = 5x + 10 + 2(9 + x) 22 + 9x = 5x + 10 + (9 * 2 + x * 2) 22 + 9x = 5x + 10 + (18 + 2x) Reorder the terms: 22 + 9x = 10 + 18 + 5x + 2x Combine like terms: 10 + 18 = 28 22 + 9x = 28 + 5x + 2x Combine like terms: 5x + 2x = 7x 22 + 9x = 28 + 7x Solving 22 + 9x = 28 + 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. 22 + 9x + -7x = 28 + 7x + -7x Combine like terms: 9x + -7x = 2x 22 + 2x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 22 + 2x = 28 + 0 22 + 2x = 28 Add '-22' to each side of the equation. 22 + -22 + 2x = 28 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 28 + -22 2x = 28 + -22 Combine like terms: 28 + -22 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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