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Simplifying 6x + 12(3x + 3) = 18(3x + 2) Reorder the terms: 6x + 12(3 + 3x) = 18(3x + 2) 6x + (3 * 12 + 3x * 12) = 18(3x + 2) 6x + (36 + 36x) = 18(3x + 2) Reorder the terms: 36 + 6x + 36x = 18(3x + 2) Combine like terms: 6x + 36x = 42x 36 + 42x = 18(3x + 2) Reorder the terms: 36 + 42x = 18(2 + 3x) 36 + 42x = (2 * 18 + 3x * 18) 36 + 42x = (36 + 54x) Add '-36' to each side of the equation. 36 + -36 + 42x = 36 + -36 + 54x Combine like terms: 36 + -36 = 0 0 + 42x = 36 + -36 + 54x 42x = 36 + -36 + 54x Combine like terms: 36 + -36 = 0 42x = 0 + 54x 42x = 54x Solving 42x = 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 42x + -54x = 54x + -54x Combine like terms: 42x + -54x = -12x -12x = 54x + -54x Combine like terms: 54x + -54x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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