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