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Simplifying 2(-3 + x) + -2(4x + -1) = 14 (-3 * 2 + x * 2) + -2(4x + -1) = 14 (-6 + 2x) + -2(4x + -1) = 14 Reorder the terms: -6 + 2x + -2(-1 + 4x) = 14 -6 + 2x + (-1 * -2 + 4x * -2) = 14 -6 + 2x + (2 + -8x) = 14 Reorder the terms: -6 + 2 + 2x + -8x = 14 Combine like terms: -6 + 2 = -4 -4 + 2x + -8x = 14 Combine like terms: 2x + -8x = -6x -4 + -6x = 14 Solving -4 + -6x = 14 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -6x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 14 + 4 -6x = 14 + 4 Combine like terms: 14 + 4 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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