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