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Simplifying 2(3x + 1) = 3(4x + 6) Reorder the terms: 2(1 + 3x) = 3(4x + 6) (1 * 2 + 3x * 2) = 3(4x + 6) (2 + 6x) = 3(4x + 6) Reorder the terms: 2 + 6x = 3(6 + 4x) 2 + 6x = (6 * 3 + 4x * 3) 2 + 6x = (18 + 12x) Solving 2 + 6x = 18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 6x + -12x = 18 + 12x + -12x Combine like terms: 6x + -12x = -6x 2 + -6x = 18 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + -6x = 18 + 0 2 + -6x = 18 Add '-2' to each side of the equation. 2 + -2 + -6x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -6x = 18 + -2 -6x = 18 + -2 Combine like terms: 18 + -2 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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