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Simplifying 9(x + 2) = 3(x + 24) Reorder the terms: 9(2 + x) = 3(x + 24) (2 * 9 + x * 9) = 3(x + 24) (18 + 9x) = 3(x + 24) Reorder the terms: 18 + 9x = 3(24 + x) 18 + 9x = (24 * 3 + x * 3) 18 + 9x = (72 + 3x) Solving 18 + 9x = 72 + 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 = 72 + 3x + -3x Combine like terms: 9x + -3x = 6x 18 + 6x = 72 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 6x = 72 + 0 18 + 6x = 72 Add '-18' to each side of the equation. 18 + -18 + 6x = 72 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = 72 + -18 6x = 72 + -18 Combine like terms: 72 + -18 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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