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Simplifying 2(6x + 9) = 3(x + 21) Reorder the terms: 2(9 + 6x) = 3(x + 21) (9 * 2 + 6x * 2) = 3(x + 21) (18 + 12x) = 3(x + 21) Reorder the terms: 18 + 12x = 3(21 + x) 18 + 12x = (21 * 3 + x * 3) 18 + 12x = (63 + 3x) Solving 18 + 12x = 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. 18 + 12x + -3x = 63 + 3x + -3x Combine like terms: 12x + -3x = 9x 18 + 9x = 63 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 9x = 63 + 0 18 + 9x = 63 Add '-18' to each side of the equation. 18 + -18 + 9x = 63 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 63 + -18 9x = 63 + -18 Combine like terms: 63 + -18 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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