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Simplifying 9(x + 3) = 3(x + 21) Reorder the terms: 9(3 + x) = 3(x + 21) (3 * 9 + x * 9) = 3(x + 21) (27 + 9x) = 3(x + 21) Reorder the terms: 27 + 9x = 3(21 + x) 27 + 9x = (21 * 3 + x * 3) 27 + 9x = (63 + 3x) Solving 27 + 9x = 63 + 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. 27 + 9x + -3x = 63 + 3x + -3x Combine like terms: 9x + -3x = 6x 27 + 6x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 27 + 6x = 63 + 0 27 + 6x = 63 Add '-27' to each side of the equation. 27 + -27 + 6x = 63 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 63 + -27 6x = 63 + -27 Combine like terms: 63 + -27 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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