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Simplifying 2(3x + -2) + 2 + -4x = 14 Reorder the terms: 2(-2 + 3x) + 2 + -4x = 14 (-2 * 2 + 3x * 2) + 2 + -4x = 14 (-4 + 6x) + 2 + -4x = 14 Reorder the terms: -4 + 2 + 6x + -4x = 14 Combine like terms: -4 + 2 = -2 -2 + 6x + -4x = 14 Combine like terms: 6x + -4x = 2x -2 + 2x = 14 Solving -2 + 2x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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