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Simplifying 3(4x + 1) = 2(3x + -1) Reorder the terms: 3(1 + 4x) = 2(3x + -1) (1 * 3 + 4x * 3) = 2(3x + -1) (3 + 12x) = 2(3x + -1) Reorder the terms: 3 + 12x = 2(-1 + 3x) 3 + 12x = (-1 * 2 + 3x * 2) 3 + 12x = (-2 + 6x) Solving 3 + 12x = -2 + 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. 3 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x 3 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 6x = -2 + 0 3 + 6x = -2 Add '-3' to each side of the equation. 3 + -3 + 6x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -2 + -3 6x = -2 + -3 Combine like terms: -2 + -3 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333
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