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Simplifying 3(2x + 7) = 5(x + 9) Reorder the terms: 3(7 + 2x) = 5(x + 9) (7 * 3 + 2x * 3) = 5(x + 9) (21 + 6x) = 5(x + 9) Reorder the terms: 21 + 6x = 5(9 + x) 21 + 6x = (9 * 5 + x * 5) 21 + 6x = (45 + 5x) Solving 21 + 6x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 6x + -5x = 45 + 5x + -5x Combine like terms: 6x + -5x = 1x 21 + 1x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 21 + 1x = 45 + 0 21 + 1x = 45 Add '-21' to each side of the equation. 21 + -21 + 1x = 45 + -21 Combine like terms: 21 + -21 = 0 0 + 1x = 45 + -21 1x = 45 + -21 Combine like terms: 45 + -21 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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