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Simplifying 14 + -3(2x + -1 + -2(3x + 1)) = 6x + -1 Reorder the terms: 14 + -3(2x + -1 + -2(1 + 3x)) = 6x + -1 14 + -3(2x + -1 + (1 * -2 + 3x * -2)) = 6x + -1 14 + -3(2x + -1 + (-2 + -6x)) = 6x + -1 Reorder the terms: 14 + -3(-1 + -2 + 2x + -6x) = 6x + -1 Combine like terms: -1 + -2 = -3 14 + -3(-3 + 2x + -6x) = 6x + -1 Combine like terms: 2x + -6x = -4x 14 + -3(-3 + -4x) = 6x + -1 14 + (-3 * -3 + -4x * -3) = 6x + -1 14 + (9 + 12x) = 6x + -1 Combine like terms: 14 + 9 = 23 23 + 12x = 6x + -1 Reorder the terms: 23 + 12x = -1 + 6x Solving 23 + 12x = -1 + 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. 23 + 12x + -6x = -1 + 6x + -6x Combine like terms: 12x + -6x = 6x 23 + 6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 23 + 6x = -1 + 0 23 + 6x = -1 Add '-23' to each side of the equation. 23 + -23 + 6x = -1 + -23 Combine like terms: 23 + -23 = 0 0 + 6x = -1 + -23 6x = -1 + -23 Combine like terms: -1 + -23 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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