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Simplifying 3(4x + 1) = -1(2x + -1) Reorder the terms: 3(1 + 4x) = -1(2x + -1) (1 * 3 + 4x * 3) = -1(2x + -1) (3 + 12x) = -1(2x + -1) Reorder the terms: 3 + 12x = -1(-1 + 2x) 3 + 12x = (-1 * -1 + 2x * -1) 3 + 12x = (1 + -2x) Solving 3 + 12x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3 + 12x + 2x = 1 + -2x + 2x Combine like terms: 12x + 2x = 14x 3 + 14x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 14x = 1 + 0 3 + 14x = 1 Add '-3' to each side of the equation. 3 + -3 + 14x = 1 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 1 + -3 14x = 1 + -3 Combine like terms: 1 + -3 = -2 14x = -2 Divide each side by '14'. x = -0.1428571429 Simplifying x = -0.1428571429
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