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Simplifying 2(3x + 4) = 3(4x + 3) Reorder the terms: 2(4 + 3x) = 3(4x + 3) (4 * 2 + 3x * 2) = 3(4x + 3) (8 + 6x) = 3(4x + 3) Reorder the terms: 8 + 6x = 3(3 + 4x) 8 + 6x = (3 * 3 + 4x * 3) 8 + 6x = (9 + 12x) Solving 8 + 6x = 9 + 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. 8 + 6x + -12x = 9 + 12x + -12x Combine like terms: 6x + -12x = -6x 8 + -6x = 9 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -6x = 9 + 0 8 + -6x = 9 Add '-8' to each side of the equation. 8 + -8 + -6x = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = 9 + -8 -6x = 9 + -8 Combine like terms: 9 + -8 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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