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Simplifying 3(x + 3) = 6(x + 6) Reorder the terms: 3(3 + x) = 6(x + 6) (3 * 3 + x * 3) = 6(x + 6) (9 + 3x) = 6(x + 6) Reorder the terms: 9 + 3x = 6(6 + x) 9 + 3x = (6 * 6 + x * 6) 9 + 3x = (36 + 6x) Solving 9 + 3x = 36 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 3x + -6x = 36 + 6x + -6x Combine like terms: 3x + -6x = -3x 9 + -3x = 36 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3x = 36 + 0 9 + -3x = 36 Add '-9' to each side of the equation. 9 + -9 + -3x = 36 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 36 + -9 -3x = 36 + -9 Combine like terms: 36 + -9 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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