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Simplifying 3(6x + 3) = 2(3x + 1) Reorder the terms: 3(3 + 6x) = 2(3x + 1) (3 * 3 + 6x * 3) = 2(3x + 1) (9 + 18x) = 2(3x + 1) Reorder the terms: 9 + 18x = 2(1 + 3x) 9 + 18x = (1 * 2 + 3x * 2) 9 + 18x = (2 + 6x) Solving 9 + 18x = 2 + 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 + 18x + -6x = 2 + 6x + -6x Combine like terms: 18x + -6x = 12x 9 + 12x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 12x = 2 + 0 9 + 12x = 2 Add '-9' to each side of the equation. 9 + -9 + 12x = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 12x = 2 + -9 12x = 2 + -9 Combine like terms: 2 + -9 = -7 12x = -7 Divide each side by '12'. x = -0.5833333333 Simplifying x = -0.5833333333
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