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Simplifying (3x + -1) * 2 = 4x + -14 Reorder the terms: (-1 + 3x) * 2 = 4x + -14 Reorder the terms for easier multiplication: 2(-1 + 3x) = 4x + -14 (-1 * 2 + 3x * 2) = 4x + -14 (-2 + 6x) = 4x + -14 Reorder the terms: -2 + 6x = -14 + 4x Solving -2 + 6x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 6x + -4x = -14 + 4x + -4x Combine like terms: 6x + -4x = 2x -2 + 2x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 2x = -14 + 0 -2 + 2x = -14 Add '2' to each side of the equation. -2 + 2 + 2x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = -14 + 2 2x = -14 + 2 Combine like terms: -14 + 2 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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