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Simplifying 3(2x + 7) = 9(x + 4) Reorder the terms: 3(7 + 2x) = 9(x + 4) (7 * 3 + 2x * 3) = 9(x + 4) (21 + 6x) = 9(x + 4) Reorder the terms: 21 + 6x = 9(4 + x) 21 + 6x = (4 * 9 + x * 9) 21 + 6x = (36 + 9x) Solving 21 + 6x = 36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 6x + -9x = 36 + 9x + -9x Combine like terms: 6x + -9x = -3x 21 + -3x = 36 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + -3x = 36 + 0 21 + -3x = 36 Add '-21' to each side of the equation. 21 + -21 + -3x = 36 + -21 Combine like terms: 21 + -21 = 0 0 + -3x = 36 + -21 -3x = 36 + -21 Combine like terms: 36 + -21 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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