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Simplifying 9(x + 2) = 3(x + 22) Reorder the terms: 9(2 + x) = 3(x + 22) (2 * 9 + x * 9) = 3(x + 22) (18 + 9x) = 3(x + 22) Reorder the terms: 18 + 9x = 3(22 + x) 18 + 9x = (22 * 3 + x * 3) 18 + 9x = (66 + 3x) Solving 18 + 9x = 66 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 9x + -3x = 66 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = 66 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = 66 + 0 18 + 6x = 66 Add '-18' to each side of the equation. 18 + -18 + 6x = 66 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 66 + -18 6x = 66 + -18 Combine like terms: 66 + -18 = 48 6x = 48 Divide each side by '6'. x = 8 Simplifying x = 8
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