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Simplifying 2(3x + -1) = 3(4x + 2) Reorder the terms: 2(-1 + 3x) = 3(4x + 2) (-1 * 2 + 3x * 2) = 3(4x + 2) (-2 + 6x) = 3(4x + 2) Reorder the terms: -2 + 6x = 3(2 + 4x) -2 + 6x = (2 * 3 + 4x * 3) -2 + 6x = (6 + 12x) Solving -2 + 6x = 6 + 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 = 6 + 12x + -12x Combine like terms: 6x + -12x = -6x -2 + -6x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -2 + -6x = 6 + 0 -2 + -6x = 6 Add '2' to each side of the equation. -2 + 2 + -6x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = 6 + 2 -6x = 6 + 2 Combine like terms: 6 + 2 = 8 -6x = 8 Divide each side by '-6'. x = -1.333333333 Simplifying x = -1.333333333
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