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Simplifying 9(x + 2) = 3(x + 20) Reorder the terms: 9(2 + x) = 3(x + 20) (2 * 9 + x * 9) = 3(x + 20) (18 + 9x) = 3(x + 20) Reorder the terms: 18 + 9x = 3(20 + x) 18 + 9x = (20 * 3 + x * 3) 18 + 9x = (60 + 3x) Solving 18 + 9x = 60 + 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 = 60 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = 60 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = 60 + 0 18 + 6x = 60 Add '-18' to each side of the equation. 18 + -18 + 6x = 60 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 60 + -18 6x = 60 + -18 Combine like terms: 60 + -18 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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